Terms in this set (17) 7 = a(2) + b(2) + c Strength of the relationship between very large solar flares, coronal mass ejections, and solar proton events? Explain the solution pathway you used to solve Exercise 47 on page 73. 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. We typically see a solar flare by the photons (or light) it releases, at most every wavelength of the spectrum. e. g(x) = 2(x 2)2 passes through (0, -24) and has vertex (-6, -12) a solar flare is how hot. Solar Weather and Climate Quiz Flashcards | Quizlet Answer: Question 47. Then describe where the function is increasing and decreasing. The height (in inches) of the jump above the ground of a 1-inch-long grasshopper is given by h(x) = \(\frac{1}{20}\)x2 + x, where x is the horizontal distance (in inches) of the jump. What is the depth of Sunfire? A solar flare is an intense burst of radiation, or light, on the Sun. Answer: Question 36. Solar Flares. Answer: F. (2, \(\frac{1}{18}\)) Why does the height you found in Exercise 44 on page 53 make sense in the context of the situation? Graph the equation. Determine whether you can use these points to find the axis of symmetry. Find the safe working load for a rope that has a circumference of 10 inches. 1 Solar wind is the continuous flow of charged particles from the sun. 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. The best answers are voted up and rise to the top, Not the answer you're looking for? P = -10x + 100x + 20000 Answer: Question 74. Overview | Our Solar System - NASA Solar System Exploration Answer: Solve the proportion. This total eclipse happens about every year and a half somewhere on Earth. Both are thought to ultimately arise from a process called magnetic reconnection -- a process that results in a reconfiguration of the magnetic field topology and transformation of magnetic energy into bulk particle kinetic energy. EXPLORATION 2 However, the occasional dark blemishes on its face - sunspots - give hints of the dangers to us lurking above the surface in the unseen Sun. What is the focus of a parabola? b. Cat may have spent a week locked in a drawer - how concerned should I be? How do the constants a, h, and k affect the graph of the quadratic function g(x) =a(x h)2 + k? d = (b a) Flares are our solar system's largest explosive events. Using the Features of Your Textbook to Prepare for Quizzes and Tests, Describe the transformation of f(x) = x2 represented by g. (Section 2.1), Write a rule for g and identify the vertex. Modeling with a Graphing Calculator Question 2. What type of symmetry does the graph of f(x) = a(x h)2 + k have and how can you describe this symmetry? (Skills Review Handbook). How does this affect the focus? g(x) = \(\frac{1}{4}\)(x 6)(x 2) Write an equation of the parabola that passes through the point (-1, 2) and has vertex (4, -9). What is a solar flare? 4a + 2b = 7 You have 100 feet of fencing to enclose a rectangular garden. B. translation 4 units right and 4 units up, followed by a vertical shrink by a factor of \(\frac{1}{2}\) Question 9. copyright 2003-2023 Study.com. The shop should charge 500 10(5) = $450 per surfboard. Answer: Question 38. g(x) = \(\frac{1}{5}\)x2 4 In Exercises 312, describe the transformation of f(x) = x2 represented by g. Then graph each function. Would you consider this to be the optimal result? Question 4. Answer: Question 10. vertex: (0, 0) WRITING Explain how to determine whether a quadratic function will have a minimum value or a maximum value. focus: (2, 2) Question 8. The height of the ball increases until it reaches a maximum height of 8 yards, 20 yards away from the player. Big Ideas Math Algebra 2 Answers Chapter 2 Quadratic Functions Given, PROBLEM SOLVING The path of a diver is modeled by the function f(x) = -9x2 + 9x + 1, where f(x) is the height of the diver (in meters) above the water and x is the horizontal distance (in meters) from the end of the diving board. g(x) = -2(x + 1)2 2 Answer: Question 54. HOW DO YOU SEE IT? Essential Question c. Use a graphing calculator to graph both functions in the same coordinate plane. directrix: y = 2 a. for better learnings. -a + -b = 3 y = -6x + 8 c. The optimal location for the receiver of the satellite dish is at a point called the focus of the parabola. Identifying Graphs of Quadratic Functions a. 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. reflection in the y-axis followed by a translation 4 units right High-energy-charged particles of matter released during a CME are sometimes directed toward Earth. 21a + 3b = 3900 a = -1 Answer: Question 51. Answer: Solar Study Guide Flashcards | Quizlet Explain why this makes sense in this situation. 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. f(x) = -4(x + 1)2 5 Write an equation that represents the cross section of the dish shown with its vertex at (0, 0). Solving 1 & 2 CRITICAL THINKING Find the y-intercept in terms of a, p, and q for the quadratic function f(x) = a(x p)(x q). = 6/2 y = \(\frac{1}{2}\)(x + 1)2 + 3 Solving all homework & assignments questions can be simple by referring to this BIM Book Algebra 2 Answer Key. Question 23. b. The Sun we observe every day appears constant and quiescent, dependably providing the planet with the energy necessary to maintain life. Watch on Watch this video to learn all about nebulae! Label the vertex and axis of symmetry. Is your friend correct? Answer: Question 68. Is your friend correct? 64a + 8b + c = 8600 Solar Flares and Coronal Mass Ejections | NASA Answer: Question 6. In these assessments you'll be tested on: This quiz and worksheet allow students to test the following skills: To learn more about solar flares, review the accompanying lesson on solar flares and coronal mass ejections. COMPLETE THE SENTENCE The graph of a quadratic function is called a(n) ________. What are sunspots and solar flares? What are the domain and range in this situation? Lunar Eclipses and Solar Eclipses - NASA Space Place Question 3. Answer: Question 35. How long is the object in the air? Write an equation of a parabola with vertex (-1, 4) and focus (-1, 2). Question 1. 4a + 2b = 6 WRITING Explain how to find the coordinates of the focus of a parabola with vertex (0, 0)and directrix y = 5. focus: (0, \(\frac{5}{3}\)) Question 4. b. g(x) = (x 2)2 + 2 Is it fair to describe a solar flare as a big lightning strike on the sun? (See Beam 1 in the figure.) x-intercepts of 9 and 1; passes through (0, -18) Match. What is the maximum volume? Explain. 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. c = -3000 directrix: x = \(\frac{2}{3}\) Graph the curve of the arch. The following definitions are according to NASA. So, the equation of the parabola is y = -5/8(x + 2)(x 4), Question 5. Very severe CME's can also potentially disrupt power grids and communications. MODELING WITH MATHEMATICS The Gateshead Millennium Bridge spans the River Tyne. filaments. Let the graph of g be a horizontal shrink by a factor of \(\frac{2}{3}\), followed by a translation 5 units left and 2 units down of the graph of f(x) = x2. A solar prominence (also known as a filament when viewed against the solar disk) is a large bright feature extending outward from the Sun's surface. Write a rule for g. What is the height of the net? Answer: Question 27. When the grasshopper jumps off a rock, it lands on the ground 2 inches farther. Answer: Question 47. Answer: Question 36. If the CME was very intense, it can disturb the magnetosphere and induce electrical currents on Earth's surface, which can overload power grids. focus: (\(\frac{2}{3}\), 0) Use the tiles to write a rule for g. Therefore, I am sick. Does Earth's magnetic field become stronger when a solar flare hits? Answer: Question 3. Answer: y = \(\frac{1}{4}\)(x + 2)2 + 1 The graph of which function does not belong with the other three? Answer: ERROR ANALYSIS In Exercises 25 and 26, describe and correct the error in analyzing the graph of f(x) = 6x2 + 4. Enrolling in a course lets you earn progress by passing quizzes and exams. Explain your reasoning Answer: h = 0 x 5 = 0 Answer: Question 43. x = -36/10 0 x 2 2\(\sqrt{x-4}\) 2 = 2 A horizontal translation to the left indicates a negative sign, and so, does a vertical translation down. These high-energy particles' effect on Earth is less severe. (2, 11) 2 prenominal designed or reserved for a particular purpose. f. g(x) = -(x + 2)2 + 2. PROBLEM SOLVING An online music store sells about 4000 songs each day when it charges $1 per song. Predict the number of tiles in the 12th figure. To find the x-intercept we have to make y = 0 25a + 5b + c = 6500 HOW DO YOU SEE IT? Answer: In the case of CMEs, reconnection results in a release of a massive amount of plasma often confined within a magnetic cloud. What forces expelled these huge clouds, then blocked further progress, yet allowed it to maintain its threads? Answer: Question 80. They appear dark because they are cooler than other parts of the Sun's surface. The graph of your third shot is a parabola through the origin that reaches a maximum height of 28 yards when x = 45. 1 = a(0) + b(0) + c WHAT IF? Question 20. C. (6, 14) g(x) = 2(x 1)2 2 If the slope goes from positive to negative as x increases, the slope is negative. A CME, on the other hand, expands nearly as fast as it propagates which means their radius of curvature by the time they reach Earth is nearly 1 AU. a + b = 695.39 603.46 = 91.93 directrix: y = 7 What do they represent? Find the length of the latus rectum of the parabola shown. sunspot. Answer: Question 44. x = -3.6 or -18/5, Question 4. Question 2. The following definitions are according to NASA. Answer: MATHEMATICAL CONNECTIONS In Exercises 51 and 52, write an equation for the area of the figure. g(x) = (x + 2)2 1 Describe where the function is increasing and decreasing. f(x) = 8x2 6; horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis 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 . y = a(x 4) 9 y(1) = a + b + c = 695.39 loops of solar material seen above the disk sun. What is the maximum volume? How much should your school charge per ticket to still make the same profit? f(x) = \(\frac{3}{2}\)x2 + 6x + 4 The cross section of a field can be modeled by y = -0.000234x(x 160), where x and y are measured in feet. k = 0 Explain. Can the mouse jump over a fence that is 3 feet high? Each time the shop decreases the price by $10, it sells 1 additional surfboard per month. directrix: y = \(\frac{8}{3}\) What is a coronal mass ejection or CME? | NASA EXPLORATION 1 x = 5, Question 5. y = \(\frac{3}{4}\)(x + 1)(x 3) Compare this function with your function in part (a). (Section 2.1). What do you notice? Answer: EXPLORATION 2 Missions such as SOHO, TRACE, GOES, and RHESSI monitor the Sun's activity. Explain your reasoning. What are the main differences between solar flares and coronal mass Use a graphing calculator to create a scatter plot. Match each quadratic function with its graph. Read about solar flares and coronal mass ejections in the worksheet then test your knowledge with the quiz. Answer: vertex: (h, k) = (0, 0) how accurate are the predictions for coronal mass ejections-(location, timing and magnitude)? Describe the transformation this change represents and how it affects your decision in part (b). Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. Let the graph of g be a translation 4 units left followed by a horizontal shrink by a factor of \(\frac{1}{3}\) of the graph of f(x) = x2 + x. That means during the day, the Moon moves over the Sun and it gets dark. a = 42.32, b = 49.61. g(x) = \(\frac{1}{3}\)x2 Use the verbal model and quadratic function to determine how much the store should charge per camera to maximize monthly revenue. Answer: In Exercises 2932, analyze the differences in the outputs to determine whether the data are linear, quadratic, or neither. Question 81. f(x) = -2x2 + 8x + 7 Answer: Question 40. What Is A Possible Cause Of Solar Prominences - Realonomics Rewrite the functions f and g in standard form to justify your answer. Answer: (Section 2.2), Question 11. = -100/2(-10) = -100/-20 = 5 an ejection of solar material from the corona At what wavelengths is a solar flare observed? Question 13. Writing Quadratic Equations, p. 76 Question 56. Although the Earth's magnetic field protects the biosphere from the worst of these forms of 'space weather', according to the website "Space Weather: What impact do solar flares have on human activities? b. Label the x-intercepts, vertex, and axis of symmetry. g(x) = (\(\frac{1}{3} x\))2 How are the solar flares from May 23, 2021 extraordinary? 0 = 3(x 5) Question 12. vertex at (0, 0) Describe the graph of g as a transformation of the graph of f(x) = x2. 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. (Skills Review Handbook). Write the equation of the quadratic function whose graph is shown at the right. Answer: Question 43. We can see that one side is decreasing and 1 side is ascending. Answer: Question 53. Write an equation for the parabola with the given characteristics. Question 3. Question 2. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Graph the function. Because the vertex is at the origin and the axis of symmetry is vertical, the equation has the form y = 1/49 x. Test. THOUGHT PROVOKING Two parabolas have the same focus (a, b) and focal length of 2 units. The greatest radiation danger would be to astronauts who participate in exploration of the Moon and Mars. 4(-100) + 2(2000) + c = 2600 3x + 6y = 24 Graph the function. Question 9. EXPLORATION 1 hydrogen gas explodes. Use the tutorials at BigIdeasMath.com for additional help. Explain. The X-rays absorbed by Earth's atmosphere deepen its ionosphere, which affects shortwave radio communications on the ground. a = -100 The formula for the parabola equation is y = a (x h) + k. Below you will find the quick links to refer exercise questions & other materials directly and prepare all the concepts thoroughly. D. y = -x2 + 6 How to explain that integral calculate areas? A parabola opens downward has a vertex that is the highest point on the graph. c. Compare the average rates of change in the students with the flu from 0 to 6 days and 6 to 11 days. Draw the reflected beams. Solar Eclipse A solar eclipse happens when the Moon gets in the way of the Sun's light and casts its shadow on Earth. A passenger on a stranded lifeboat shoots a distress flare into the air. REASONING Which of the following are possible coordinates of the point P in the graph shown? OPEN-ENDED Write two different quadratic functions in intercept form whose graphs have the axis of symmetry x= 3. c. f(x) = 2(x 3)2 + 1 How are solar flares formed? - WisdomAnswer y = (x 2)2 1 A surfboard shop sells 40 surfboards per month when it charges $500 per surfboard. The arch of the bridge can be modeled by a parabola. When the rays hit the parabola, they reflect at the same angle at which they entered. directrix: y = \(\frac{5}{4}\) Answer: focus: (0, \(\frac{5}{4}\)) Write an expression in terms of a and b that represents the year t when the company made the least profit. (Section 2.1), Question 14. Question 7. 13 (solar flares) Flashcards | Quizlet y(x) = -100x + 2000x 3000. directrix: x = 2 MODELING WITH MATHEMATICS Flying fish use their pectoral fins like airplane wings to glide through the air. Label the vertex and axis of symmetry. passes through (4, 3) and has x-intercepts of -1 and 5, Question 15. Let g be a horizontal shrink by a factor of \(\frac{1}{4}\), followed by a translation 1 unit up and 3 units right of the graph of f(x) = (2x + 1)2 11. 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! Draw the reflected rays so that they intersect the y-axis. The table shows the heights y (in feet) of the baseball after x seconds. x = 4/3, Question 3. focus: (0, 5) Study with Quizlet and memorize flashcards containing terms like what is the closest star to our planet, what is the overall temperature of the sun, how many earths do you need to equal the size of the sun and more. passes through (-7, -15) and has vertex (-5, 9) When a CME reaches the Earth, its impact disturbs the Earth's magnetosphere, setting off a geomagnetic storm. Find the distance between the two points. g(x) = 3(x 1)2 h(x) = 4(x + 4)2 + 6 Then, this Big Ideas Math Algebra 2 Answers Chapter 2 Quadratic Functions guide is the best option for you all. What is the cost of a ticket? Find the minimum value or maximum value of D. y = 2(x + 2)(x 1) directrix: y = -6 Answer: Question 16. passes through (-2, 7), (1, 10), and (2, 27). The table shows the prices (in dollars per troy ounce) of gold each year since 2006 (t = 0 represents 2006).
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