<p>SECONDARY III - UNIT 2 ASSIGNMENT 3 (4.5) </p><p>DO NOT WRITE ON THIS - DO ALL YOUR WORK ON A SEPARATE PIECE OF PAPER</p><p>Use the given information to write an equation for the quadratic function that satisfies the given information. All work must be show.</p><p>1. Given: Vertex and point 2. Given: Vertex and one of two x-intercepts </p><p>3. Given: Two x-intercepts and and 4. Given: Vertex and y-intercept one point </p><p>5. Given: Exactly one x-intercept and 6. Given: Vertex and point y-intercept </p><p>7. Given: Two x-intercepts and and 8. Given: Vertex and point one point </p><p>Use a graphing calculator to determine the quadratic equation for each set of three points that lie on a parabola. You must show the matrices that you put in your calculator! Change any decimal answers to fractions.</p><p>9. Points: 10. Points: </p><p>11. Points: 12. Points: </p><p>13. Points: 14. Points: </p><p>Create a system of equations and use algebra to write a quadratic equation for each set of three points that lie on a parabola. DO THESE BY HAND! ALL WORK MUST BE SHOWN!</p><p>15. Points: 16. Points: </p><p>17. Victoria competes in a discus throwing competition. She needs to throw her discus at least 200 feet to win the event. The discus has an initial height of 5 feet when she releases it. The discus reaches a height of 25 feet after traveling 75 feet and a height of 20 feet after traveling 150 feet. </p><p> a. Write a quadratic function modeling the path of the discus.</p><p> b. Does Victoria win the competition? Explain your reasoning?</p><p> c. What was the maximum height the discus attained? 18. Cory is training his dog, Cocoa, for an agility competition. Cocoa must jump through a hoop in the middle of a course. The center of the hoop is 8 feet from the starting pole. The dog runs from the starting pole for 5 feet, jumps through the hoop, and lands 4 feet from the hoop. When Cocoa is 1 foot from landing, Cory measures that she is 3 feet off the ground. Write a quadratic function modeling the path that Cocoa takes once he starts his jump.</p><p>19. Sasha is training her dog, Bingo, to run across an arched ramp, which is in the shape of a parabola. To help Bingo get across the ramp, Sasha places a treat on the ground where the arched ramp begins and one at the top of the ramp. The treat at the top of the ramp is a horizontal distance of 2 feet from the first treat, and Bingo is 6 feet above the ground when he reached the top of the ramp. Write a quadratic function modeling the path of Bingo as he crosses the ramp.</p><p>20. A spectator in the crowd throws a treat to one of the dogs in a competition. The spectator throws the treat from the bleachers 19 feet above the ground. The treat amazingly flies horizontally 30 feet and just barely crosses over a hoop which is 7.5 feet tall. The dog catches the treat 6 feet beyond the hoop when his mouth is 1 foot from the ground. Write a quadratic function modeling the path of the treat. (Use a calculator and round to 2 decimal places)</p>