Question

Sara kicked a football. The height of the ball (in meters above the ground) ttt seconds after Sara kicked it is modeled by h(t)=-5t^2+20th(t)=−5t 2 +20th, left parenthesis, t, right parenthesis, equals, minus, 5, t, squared, plus, 20, t Sara wants to know the height of the ball above the ground at its highest point. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. h(t)=h(t)=h, left parenthesis, t, right parenthesis, equals 2) At its highest point, how far above the ground was the ball? meters

Answer 1

The height of the ball at its highest point is 20 meters.

Step-by-step explanation:

To find the height of the ball at its highest point, we need to rewrite the function in vertex form. The vertex form of a quadratic function is given by h(t) = a(t - h)^2 + k, where (h, k) represents the vertex. In this case, the vertex form of the function h(t) = -5t^2 + 20t is h(t) = -5(t - 2)^2 + 20.

At its highest point, the ball is at the vertex of the parabola. In this case, the vertex is (2,20), so the height of the ball above the ground at its highest point is 20 meters.

Answer 2

`h(t) = -5(t-2)^2+20`

20 meters

Step-by-step explanation: