Secondary Iii - Unit 2 Assignment 3 (4.5)

SECONDARY III - UNIT 2 ASSIGNMENT 3 (4.5)

DO NOT WRITE ON THIS - DO ALL YOUR WORK ON A SEPARATE PIECE OF PAPER

Use the given information to write an equation for the quadratic function that satisfies the given information. All work must be show.

1. Given: Vertex and point 2. Given: Vertex and one of two x-intercepts

3. Given: Two x-intercepts and and 4. Given: Vertex and y-intercept one point

5. Given: Exactly one x-intercept and 6. Given: Vertex and point y-intercept

7. Given: Two x-intercepts and and 8. Given: Vertex and point one point

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.

9. Points: 10. Points:

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!

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.

a. Write a quadratic function modeling the path of the discus.

b. Does Victoria win the competition? Explain your reasoning?

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.

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.

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)