Question

Trish's bounces the ball at 0.76 for in front of her feet. The path of the ball from the time it hits the ground until it it lands on the floor is represented by

f(x) = -2(x-3)^2+10

Assuming that Tricia's feet are located at the origin (0,0), what is thr maximum height of the ball (in feet)?​

Answer 1

10 ft.

Explanation:

K represents how low or high you move on the map vertically. This is the quickest way to do it because the answer is right there.

I am joyous to assist you anytime.

Answer 2

10 ft

Explanation:

The equation is written in vertex form, with the vertex at (3, 10). Since the scale factor is negative, the graph opens downward, and the vertex is the maximum height: 10 ft.

_____

The equation of a parabola with vertex (h, k) is ...

f(x) = a(x -h)² +k

Comparing this to your function, you see that ...

• a=-2
• h=3
• k=10

so the vertex is (h, k) = (3, 10).