Explain. Watch on Watch this video to learn all about nebulae! Answer: ANALYZING RELATIONSHIPS In Exercises 1518, use the axis of symmetry to match the equation with its graph. y = \(\frac{1}{8}\)(x 3)2 + 2 Answer: Question 1. 4 = a(-1) + b(-1) + c Sometimes these loops become twisted or over-stretched, and they rapidly change back to simpler forms. How much should your school charge per ticket to still make the same profit? Write an equation of the parabola that passes through the points (-1, 4), (0, 1), and (2, 7). If not, which ball hits the ground first? d. Which method do you prefer when writing a transformed function? Answer: Question 49. Question 41. What does f(\(\frac{p+q}{2}\)) represent in the graph? m = -3 y(x) = -100x + 2000x 3000. 2b 0 = 2b COMPLETE THE SENTENCE The graph of a quadratic function is called a(n) ________. explosive outbursts which occur in the chromosphere near the Sun's surface. Answer: Question 2. Then use a linear system to find the model. Question 5. Describe a transformation of the graph below that models the area of the blue portion of the earring. Question 13. 25a + 5b + c = 6500 Write an equation of the parabola. Answer: Question 53. Study with Quizlet and memorize flashcards containing terms like list and describe each stage of the development of a star, what is a red giant or a super giant, what color are red giants and more. 4a + 2b = 7 Bill Nye Sun Video Flashcards | Quizlet DRAWING CONCLUSIONS Compare the graphs of the three quadratic functions. solar flares | Other Quiz - Quizizz Explain your reasoning. B. solving 1 & 2 Write an equation for each gym modeling the total cost y for a membership lasting x months. focus: (0, -10) Explain your reasoning. Answer: Question 43. Answer: Question 78. a. What online tools are available to investigate and classify solar eruptions? What do you notice? The graph shows a quadratic function of the form Vertical rays enter a satellite dish whose cross section is a parabola. directrix, p. 68, Section 2.3 Answer: Monitoring Progress and Modeling with Mathematics. 2 = a(-1 4) 9 Justify your answer. About this quiz: All the questions on this quiz are based on information that can be found at Physics: Sunspots and Solar Winds . D. y = \(\frac{1}{4}\)(x 2)2 + 3 Answer: Question 62. Solar Flares are powerful bursts of electromagnetic energy in the Sun's atmosphere. Flashcards. -24 + 2b = 6 (h, k) = (5, 3) All other trademarks and copyrights are the property of their respective owners. Which accurately describes solar weather? f(x) = x2 vertical stretch by a factor of 4 and a reflection in the x-axis, followed by a translation 2 units up 0 = x + 10 For the trough shown, how far from the bottom should the wire be placed? b. Let the graph of g represent a vertical stretch and a reflection in the x-axis, followed by a translation left and down of the graph of f(x) = x2. Solar Flare Flashcards | Quizlet Describe the transformation of f(x) = x2 represented by g. Then graph each function. Explain. Learn. y(2) = 4b + 2b + c =871.96 Why does my react web app break on mobile when trying to sign an off-chain message, Old novel featuring travel between planets via tubes that were located at the poles in pools of mercury. Find the x-intercept of the graph of the linear equation. copyright 2003-2023 Study.com. What is the maximum height of the diver? c. Does the value of a change when the flight path has vertex (30, 4)? c. g(x) = -(x + 2)2 2 (Skills Review Handbook). Answer: Question 40. Answer: (2, 2600) = 4a + 2b + c = 2600 MATHEMATICAL CONNECTIONS The area of a rectangle is modeled by the graph where y is the area (in square meters) and x is the width (in meters). Answer: Question 29. Then use a graphing calculator to verify your answer. Do the balls hit the ground at the same time? f(x) = \(\frac{1}{2}\)x2 2x 2 on graph paper. The graph of your third shot is a parabola through the origin that reaches a maximum height of 28 yards when x = 45. x = 24/3 (a) f(x) = 4x2 + 16x 3 and All rights reserved. g(x) = 2(x + 1)2 + 2 PROBLEM SOLVING An electronics store sells 70 digital cameras per month at a price of $320 each. What Is a Nebula? | NASA Space Place - NASA Science for Kids In order to safely continue our exploration of space, we must actively study the hazards unleashed by the Sun, so that we can predict Solar dangers and protect humans and our technology. directrix: y = \(\frac{5}{4}\) a. Use the quadratic regression feature to find a quadratic model for the data. Specifically, what causes them, what sort of damage can they cause, and what are the differences in their composition? Why is it Called the Solar System? In this article, you get to find topic-wise BIM Algebra 2 Ch 2 Quadratic Functions Exercise questions & answers, practices, quizzes, chapter review, chapter tests, cumulative assessments, etc. Answer: Question 7. vertex: (h, k) = (0, 0) What is a solar flare quizlet? directrix: y = -6 An underhand serve follows the same parabolic path but is hit from a height of 3 feet. -a + -b = 3 = 6/2 Use function notation to write the transformed function. B. y = x2 5 Therefore, I am not sick. What is a geomagnetic storm? Answer: Question 67. Which flare travels higher? Given, Answer: Question 2. Answer: Question 36. Answer: In Exercises 2932, analyze the differences in the outputs to determine whether the data are linear, quadratic, or neither. The Short Answer: A nebula is a giant cloud of dust and gas in space. This total eclipse happens about every year and a half somewhere on Earth. Answer: Question 15. Answer: Answer: Question 13. In the case of flares, reconnection results in jets of highly energetic electrons and protons that slam into the upper solar atmosphere resulting in x-rays produced by thick target Bremsstrahlung radiation. What do the reflected rays have in common? a = -6 What are the domain and range of the function? Answer: Question 65. p = 10 Answer: Factor the trinomial. 400z = 1950 Solving 2 & 3 Decide whether the syllogism represents correct or flawed reasoning. There are several differences between solar flares and coronal mass ejections (CMEs), the latter of which involve large amounts (i.e., upwards of billions of tons) of matter (in the form of plasma) to leave the sun. If a < 0, how does your answer in part (a) change? Answer: In Exercises 2528, write an equation of the parabola shown. Answer: Then determine the maximum possible area of the figure. c. The company made the same yearly profits in 2004 and 2012. passes through (0, -24) and has vertex (-6, -12) b. c. Find a vertical line on your graph paper so that when you fold the paper, the left portion of the graph coincides with the right portion of the graph. Let the graph of g be a translation 2 units left and 1 unit down, followed by a reflection in the y-axis of the graph of f(x) = (2x + 1)2 4. This creates additional frictional drag on satellites in low-Earth orbit, which can degrade their orbits. Choose the two correct answers. x-intercepts of 12 and -6; passes through (14, 4) (x, y) = (-1, 0) Explain your reasoning. 0 = 36a + 3 d. Assume that the model is still valid today. c. 2 x 4 Question 3. General Studies Earth & Space Science: Help & Review Course Practice, Gas Giants: Definition & Explanation Quiz, Massive Star: Definition, Facts & Life Cycle, Massive Star: Definition, Facts & Life Cycle Quiz, Average Star: Definition & Life Cycle Quiz, Main-Sequence Star: Definition & Facts Quiz, Red Supergiant: Definition, Facts & Life Cycle Quiz, The Sun's Chromosphere: Definition, Temperature & Facts Quiz, The Sun's Photosphere: Definition & Temperature Quiz, Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Working Scholars Bringing Tuition-Free College to the Community, Define solar flares and coronal mass ejections, Understand effects of large solar flares reaching Earth. Analyzing Spotlights a. y = zx 750 Question 1. What Is A Possible Cause Of Solar Prominences - Realonomics Would a large coronal mass ejection affect the earth evenly. According to the given problem parabola pass through the origin. (2, 6) vertex: (0, 0) 0 = 3(x 5) Question 20. Explain your reasoning. Graph the function. The greatest radiation danger would be to astronauts who participate in exploration of the Moon and Mars. Answer: Question 32. Question 85. h(x) = 4(x + 4)2 + 6 Justify your answer. f(x) = (x + 6)2 + 3; horizontal shrink by a factor of \(\frac{1}{2}\) and a translation 1 unit down, followed by a reflection in the x-axis Determine what type of function you can use to model the data. Find the distance between the two points. y = \(\frac{1}{2}\)(x + 1)2 + 3 p = -2 a = -1 Solar flares arise within the sun's roiling soup of plasma when charged particles thrash around one another to form intense magnetic field lines that can tangle and interweave. 5 = -8a Answer: Question 23. c. Use the model in part (b) to predict when the sponge will hit the ground. b. Answer: Question 12. g(x) = \(\frac{1}{2}\)(x 1)2 vertex: (0, 0) Answer: Solve the proportion. How far is the receiver from the vertex of the cross section? Answer: Question 35. The path of a basketball thrown at an angle of 45 can be modeled by y = -0.02x2 + x + 6. Draw the reflected beams. Answer: Question 50. See my previous answers at https://physics.stackexchange.com/a/258093/59023, https://physics.stackexchange.com/a/214509/59023, and https://physics.stackexchange.com/a/149199/59023. Find the safe working load for a rope that has a circumference of 10 inches. Question 5. Question 4. E. (9, 41) If I am sick, then I will miss school. Is the value of a positive, negative, or zero? In comparison to high-energy particles from CMEs, the doses of X-rays from solar flares are not terribly damaging to living tissues. Answer: Question 2. For each $20 decrease in price, about 5 more cameras per month are sold. g(x) = -2(x 1)2 + 2 x-intercepts of 9 and 1; passes through (0, -18) Is there an easier way to find the distance when the x-coordinates are equal? Test. Their energy is absorbed by Earth's magnetosphere, which can then rebound and accelerate charged matter within it toward Earth. d. g(x) = 0.5(x 2)2 + 2 Essential Question Solar Eclipse A solar eclipse happens when the Moon gets in the way of the Sun's light and casts its shadow on Earth. Study with Quizlet and memorize flashcards containing terms like What is the year cycle, During a solar flare, Solar wind and more. To shift the graph of 2 units left means Substitute x in f(x) then you get x-(-2). and more. B. y = \(\frac{1}{16}\)x2 + 4 heating, hence expansion of the atmosphere would cause drag on satellites, degrading their orbits, also affecting the accuracy of GPS. They occur near the boundary between two magnetic fields pointing in opposite directions. f(x) = -(x + 1)(x + 5) Answer: Question 30. A. focus is (0, 10) MODELING WITH MATHEMATICS The table shows the distances y a motorcyclist is from home after x hours. The function g(x) = \(\frac{1}{2}\)x 4 + 4 is a combination of transformations of f(x) = | x|. What is a sunspot? How do the constants a, h, and k affect the graph of the quadratic function g(x) =a(x h)2 + k? . Explore the phenomenon in more detail here. How much more money will the school raise? f(x) = 2(x 5)(x 1) In Exercises 4146, identify the vertex, focus, directrix, and axis of symmetry of the parabola. 4a + 2b = 871.96 603.46 = 268.5 Also, you can learn all the complex concepts of Chapter 2 Quadratic Functions with the help of the Big Ideas Math Algebra 2 Book Solution Key and can answer any type of questions related to Chapter 2 Quadratic Functions complex topics. Order the following parabolas from widest to narrowest. Create your account to access this entire worksheet, A Premium account gives you access to all lesson, practice exams, quizzes & worksheets, General Studies Earth & Space Science: Help & Review. D. y = 2(x + 2)(x 1) Label the vertex and axis of symmetry. b. c. The optimal location for the receiver of the satellite dish is at a point called the focus of the parabola. Use a graphing calculator to find an equation for the line of best fit. C. x = \(\frac{1}{8}\)y2 Repeat parts (a) and (b). Find the engine speed that maximizes torque. g(x) = 2(x 1)2 + 2 Explain. The parent function of the quadratic family is f(x) = x2. gas spewed out when a prominence erupts. Answer: Question 38. x = \(\frac{1}{16}\)(y 3)2 + 1 Below you will find the quick links to refer exercise questions & other materials directly and prepare all the concepts thoroughly. Writing Quadratic Equations, p. 76 The Sun we observe every day appears constant and quiescent, dependably providing the planet with the energy necessary to maintain life. Write an expression in terms of a and b that represents the year t when the company made the least profit. x= \(\frac{1}{24}\)y2 Explain the shortcut you found to write the equation in Exercise 25 on page 81. Answer: Given b. Modeling with a Quadratic Function. To better understand the processes that cause solar storms and space weather, NASA, in partnership with other national and international agencies, conducts space missions to study the Sun-Earth Connection. WRITING Explain how to find the coordinates of the focus of a parabola with vertex (0, 0)and directrix y = 5. Then use a graphing calculator to verify that your answer is correct. focus: (0, \(\frac{6}{7}\)) Which of these. Power cuts. Describe the domain and range of each function, and where each function is increasing and decreasing. The y-coordinates are equal in the given points, y = 1/40 x What is the height of the net? Do solar flares have a noticeable effect on asteroid orbits? X-ray and ultraviolet photons from the flare ionize the upper atmosphere interfering with radio communication. c. Use a graphing calculator to graph both functions in the same coordinate plane. Write an equation of the parabola with the given characteristics. A surfboard shop sells 40 surfboards per month when it charges $500 per surfboard. Therefore, all dogs are warm-blooded. a. To find the x-intercept we have to make y = 0 How does solar activity (e.g. When you throw a ball (or shoot an arrow, fire a missile or throw a stone) it goes up into the air, slowing as it travels, then comes down again faster and faster . To explore the answers to these questions and more, go to BigIdeasMath.com. Describe the domain and range of the function, and where the function is increasing and decreasing. b. They tend to happen more when the Sun's activity is greater. answer choices . The Suns rays are reflected from the mirrors toward two boilers located at the focus of the parabola. The Sun Flashcards | Quizlet focus: (0, -7) b. f(x) = (x + 1)2 2 They appear dark because they are cooler than other parts of the Sun's surface. B. Each time the shop decreases the price by $10, it sells 1 additional surfboard per month. f(x) = \(\frac{1}{2}\)(x 2)(x + 6) Earth's atmosphere does a great job of shielding much of this and the surrounding magnetic field helps to "deflect" some of the incident particles as well. \(\frac{2}{3}\) = \(\frac{x}{9}\) Answer: D. y = -5x2 + 10x + 23 rev2023.7.13.43531. Use the graph to determine whether the average rate of change over each interval is positive, negative, or zero. Answer: Question 5. WRITING Explain when it is appropriate to use a quadratic model for a set of data. B. y = -3x2 6x + 2 HOW DO YOU SEE IT? Answer: Question 48. ANALYZING EQUATIONS Which of the following equations represent the parabola? Test. y = 1/4p (x h) + k Describe how you were able to construct a viable argument in Exercise 28 on page 81. Answer: Question 73. So, the conclusion is valid. Answer: a. High-energy-charged particles of matter released during a CME are sometimes directed toward Earth. Answer: Question 34. hydrogen gas explodes. PROBLEM SOLVING An online music store sells about 4000 songs each day when it charges $1 per song. What type of symmetry does the graph of f(x) = a(x h)2 + k have and how can you describe this symmetry? The outer atmosphere is also heated by the incoming radiation and bloats up to a larger size. Question 3. The models originate the sounds at the focus of a parabolic reflector. Created by. Solar wind: What is it and how does it affect Earth? | Space The following definitions are according to NASA. Answer: The conclusion is not valid. Describe where the function is increasing and decreasing. Your school expects 400 students to attend and finds another DJ who only charges $650. 4a + 2b + c = 2600 Solar flares: What are they and how do they affect Earth? f. g(x) = -(x + 2)2 + 2. Find another point that lies on the graph of the parabola. b. Question 8. Question 27. Graph the function. What changes in the formal status of Russia's Baltic Fleet once Sweden joins NATO? Answer: Question 38. vertex: (0, 0) 4 prenominal particular or primary. vertex: (0, 0) sunspot. Write an equation of the parabola that passes through the point (-1, 2) and has vertex (4, -9). y = 5(400) 650 y = 3 g(x) = -3x2 6x + 5 Standard Equations of a Parabola with Vertex at (h, k), p. 70, Section 2.4 The Earth had its hottest year on record. 2. Do practice with the Big Ideas Math Algebra 2 Answers Guide and kickstart your preparation. the layer of the sun's atmosphere that has a reddish glow. c = -5, Question 6. Answer: Question 6. Are you looking for the best resources to seek homework help and practice well for the examinations? Then, this Big Ideas Math Algebra 2 Answers Chapter 2 Quadratic Functions guide is the best option for you all. 2a = -12 There is no fee to use the cafeteria, but the DJ charges a fee of $750. If linear or quadratic, write an equation that fits the data. b. The arch of the bridge can be modeled by a parabola. Solar flares are a sudden explosion of energy caused by tangling, crossing or reorganizing of magnetic field lines near sunspots. Find the height of the baseball after 1.7 seconds. y(1) = a + b + c = 695.39 You will receive your score and answers at the end. Your school decides to sell tickets to a dance in the school cafeteria to raise money. which approximates the yearly profits for a company, where P(t) is the profit in year t. Any new info about solar flares hitting the Moon added by the LADEE mission? Solving 1 & 2 MAKING AN ARGUMENT Your friend states that quadratic functions with the same x-intercepts have the same equations, vertex, and axis of symmetry. Answer: Question 6. focus: (2, 2) (2, 11) Answer: Question 27. They can have energies up to ~GeV for ions and several ~MeV for electrons, but rarely higher. The table shows the heights y (in feet) of the baseball after x seconds. Would a solar flare destroy solar panels? Answer: Question 16. Answer: Question 8. C. (4, \(\frac{4}{9}\)) b = 15 Answer: Question 8. In Exercises 312, describe the transformation of f(x) = x2 represented by g. Then graph each function. y(0) = c = 603.46 Draw three possible designs for the garden. 1350 1250 = 100 MODELING WITH MATHEMATICS A baseball is thrown up in the air. The given syllogism represents correct reasoning. Was the driver of a car speeding when the brakes were applied? The passenger shoots a second flare, whose path is modeled in the graph. filaments. So, the ball during third shot travels 90 (2 45) yards before hitting the ground. Rewrite the functions f and g in standard form to justify your answer. Question 1. A. The same object dropped from the same height on the moon is modeled by g(t) = \(\frac{8}{3}\)t2 + 10. There are many planetary systems like ours in the universe, with planets orbiting a host star. How to reclassify all contiguous pixels of the same class in a raster? ABSTRACT REASONING A function is written in intercept form with a > 0. Astronomy Test #3 Solar Flares/Sunspots Flashcards | Quizlet Work with a partner. EXPLORATION 2 The astronauts would be located far outside the protection of Earth's shields, where the effect from a CME-driven shock wave can bombard them with as much radiation as 300,000 chest X-rays at once! Question 2. PROBLEM SOLVING The engine torque y (in foot-pounds) of one model of car is given by y = -3.75x2 + 23.2x + 38.8, where x is the speed (in thousands of revolutions per minute) of the engine. Write a function that models the data. Essential Question A solar flare is a rapid variation in brightness seen on the sun. = -100/2(-10) = -100/-20 = 5 What is a solar flare? c. Describe where the diver is ascending and where the diver is descending. y = 2x + 7 The equation is y = 0.083(x 5) + 3. Verify that the data show a quadratic relationship. the center of the sun. Answer: Question 4. Because the vertex is at the origin and the axis of symmetry is vertical, the equation has the form y = 1/49 x. This current of electricity flowing into Earth's atmosphere causes the Northern and Southern Lights, also called the Aurora. Given You and your friend are throwing a football. Solar Flare Pt. The vertex of the parabola is (50, 37.5). Particles from solar flares can distort Earth's magnetic field, which in turn, disrupts navigation systems, cause surges in electrical systems causing damage and blackouts, and damage or disrupt satellites. Thus x-intercepts are 0 and 90. Question 3. Question 9. 3x = 24 What happens to the vertex of the graph as a increases? 2 b. Terms in this set (11) solar flare. WRITING Explain when to use intercept form and when to use vertex form when writing an equation of a parabola. 21a + 3b = 3900 Find the coordinates of point A. y = 1350 The graph of which function does not belong with the other three? a. g(x) = -(x 2)2 -10x = 36 Question 1. Graph the function. Answer: Question 42. Answer: y = 4 -2x When a ball is throw up in sky its trajectory is parabolic,so using quadratic function heighest point which will be vertex can be calculated and maximum height attain by ball from ground can also be calculated. Explain. core. Given, A parabola has an axis of symmetry y= 3 and passes through the point (2, 1). Try with different points x = -3.6 or -18/5, Question 4. Solar Study Guide Flashcards | Quizlet Question 1. Explain. How does this change your answers in parts (a) and (b)? A horizontal translation to the left indicates a negative sign, and so, does a vertical translation down. REPEATED REASONING The table shows the number of tiles in each figure. Find the minimum or maximum value of f. Describe where the function is increasing and decreasing. 4a 0 = 4a a. vertex: (0, 0) 10,000 degrees C. T/F Solar flares burn at a higher temperature than road flares. USING STRUCTURE Which function represents the widest parabola? Solar flares and sunspots increase as solar maximum approaches. 2x = -7 Energy is radiated away from these explosions in the form of X-rays, gamma rays, and high energy particles of matter. c. y = xz 650 The start of the parabola is 0,1 as x = 0 and crosses the line Use the tiles to write a rule for g. Flares are our solar system's most powerful explosive events - the most powerful flares have the energy equivalent of a billion hydrogen bombs, enough energy to power the whole world for 20,000 years. (8, 8600) = 64a + 8b + c = 8600 Given, THOUGHT PROVOKING Describe a real-life situation that can be modeled by a quadratic equation. Learn. ERROR ANALYSIS In Exercises 33 and 34, describe and correct the error in analyzing the graph of y = 4x2 + 24x 7. The table shows the results of an experiment testing the maximum weights y (in tons) supported by ice x inches thick. Make use of these below available BIM Book Algebra 2 Answer Key Chapter 2 Quadratic Functions direct links and prepare well to score good results in any examinations. In Exercises 2936, write an equation of the parabola with the given characteristics. Does Earth's magnetic field become stronger when a solar flare hits? g(x) = \(\frac{1}{4}\)(x 6)(x 2) Answer: Question 49. Thus the price of ticket is $5. When these. Question 4. A circular earring with a radius of r millimeters has a circular hole with a radius of \(\frac{3 r}{4}\) millimeters. coronal mass ejection. As I explained above, flares are just enhancements in x-rays so there is no composition. If so, write the equation of the axis of symmetry. When this happens, plasma can be violently smashed down into the Sun's surface - a solar flare - or squirted out into interplanetary space - a coronal mass ejection (CME). Answer: Question 10. b. Question 11. 3 + 2 = 5 A. focus: (0, -6) directrix: y = -6 Explain. EXPLORATION 1 They are actually footprints of active regions where enormous loops of magnetic force trap plasma within them in the corona (atmosphere) of the Sun. What is a coronal mass ejection or CME? | NASA Write a rule for g and identify the vertex. The second ball is released 1.5 feet higher than the first ball and after 3 seconds reaches its maximum height 5 feet lower than the first ball. Describe the transformations of the graph of the standard equation with p = 1 and vertex (0, 0). UC Berkeley/Center for Science Education. Answer: In Exercises 3740, write an equation of the parabola shown.
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