<p>Algebra 2 Name ______Review 5.2-5.4</p><p>Graph the function FROM THE FORM IT IS IN – DO NOT FOIL! Label the vertex. Make a table with all 5 points.</p><p>NO CALCULATORS ON THIS SECTION!</p><p>1. Y = −3x2 + 5 2. f(x) = 2x2 – 8x + 6 </p><p>3. y = −x2 + 8x – 12 4. f(x) = 3(x + 2)2 − 5</p><p>5. f(x) = ½(x – 3)2 + 4 6. Y = −(x – 5)2 + 6 Use the information given to write a quadratic equation in the form y = ax 2 + c .</p><p>7. 8. Through (0, 5) and (6, −4) 9. Through (2, −11) and (−3, −21)</p><p>Use the given information to write a quadratic equation in VERTEX FORM.</p><p>10. 11. Vertex: (4, −1) through (2, 11) 12. y = a(x + 3)2 + k through (1, −6) and (−1, 0)</p><p>Determine if the graph would have a maximum or minimum. Then find the vertex and y-intercept.</p><p>13. y = −3x2 + 18x – 7 14. y = 0.2(x + 7)2 + 3 15. Y = −x2 – 6 </p><p>Write the function in standard form.</p><p>16. y = 3(x – 4)2 + 3 17. y = −½(x + 6)2 – 5 </p><p>Write the function in vertex form.</p><p>18. y = −4x2 – 16x + 3 19. y = x2 – 2x 20. A manufacturer of lighting fixtures has daily production costs modeled by y = 0.25x2 – 10x + 800 where y is the total cost in dollars and x is the number of fixtures produced. How many fixtures should be produced each day to yield a minimum cost? What is the minimum daily production cost?</p><p>21. You are going to frame your family photo. You have 64 inches of framing materials. </p><p> a. What dimensions of the frame give you the maximum area for the photo?</p><p> b. Write an equation to represent this situation. Use your equation to justify your answer to part a.</p><p>22. The path a diver follows is given by y = −0.4(x – 4)2 + 14 where x is the horizontal distance (in feet) from the edge of the diving board and y is the height (in feet). </p><p> a. What is the maximum height of the diver?</p><p> b. What is the starting height of the diver? (when he or she is on the diving board)</p><p> c. Sketch a graph of the situation.</p><p>23. Researchers conducted an experiment to determine temperatures at which people feel comfortable. The percent y of test subjects who felt comfortable at temperature x (in degrees Fahrenheit) can be modeled by y = −3.678x2 + 527.3x – 18,807. What temperature made the greatest percent of test subjects comfortable? At that temperature, what percent felt comfortable?</p><p>24. The Golden Gate Bridge in San Francisco has two towers that rise 500 feet above the road and are connected 1 2 by suspension cables as shown. Each cable forms a parabola with equation y=( x -2100) + 8. 8960 a. What is the distance d between the two towers?</p><p> b. What is the height l above the road of a cable at its lowest point?</p><p>25. Suppose you are tossing an apple up to a friend on a third-story balcony. After t seconds, the height of the apple in feet is given by h = −16t2 + 38.4t + 0.96. Your friend catches the apple just as it reaches its highest point. What would the x-coordinate of the vertex tell us about this situation? What would the y-coordinate of the vertex tell us about this situation? BE SPECIFIC! Factor completely. WATCH OUT FOR GCFs!!</p><p>26. x2 − 9x + 14 27. m2 – 7m – 30 28. k2 + 13k + 36</p><p>29. 6x2 – 13x + 2 30. 10x2 – 3x – 1 31. 6x2 + 17x + 5 </p><p>32. 2x2 – 4x – 30 33. −3x2 – 15x – 12 34. 6x2 – 33x + 15 </p><p>35. x2 – 81 36. 25n2 – 36m2 37. 12p2 – 147</p><p>38. 25x2 – 20x + 4 39. −2x2 + 16x – 32 40. −15x2 + 10x</p>