# Tennis-ball Parabola

### Kennedy And Nathan

## Vertex, Roots, Standard and Vertex form

The vertex of the tennis ball is: (3.5ft,3ft)

Two points are: (0ft,0ft) and (7.5ft,0ft)

The standard form is: y=-12/49x^2-7x+61/4

The vertex form is: y=-12/49(x-3(1/2))^2+3

## Questions

1. What does the height of the tennis ball leaving the ground represent? The height of the tennis ball leaving the ground represents the y-intercept, where the ball crosses the y-axis.

2. At the spot where the tennis ball hits the ground the second time, what is the relevance to the equation? It is used as a second root, meaning landing on the x-axis. The second root is (7.5,0)

3. What is the maximum height of the tennis ball? 3 feet

4. How far away is the tennis ball when it reaches it's maximum height? 3.5 feet

5. What is the domain related to the distance of the tennis ball? 0<_x<_7.5

6. What is the range related to the height of the tennis ball? Y<_3