Question

A frog is sitting on a stump 4 feet high hops off and lands on the ground.During its leap,the frog's height H in feet is given by the equation h=-.5d^2+d+4 where d is the horizontal distance in feet from the base of the stump.

What was the frog's horizontal distance from the log at its max height?

Answer 1

.5

because it's at the stump at (0,4) and its max height is (1,4.5)

Sorry if its wrong

Answer 2

The max height of the frog will be 1 feet from the base of the stump.

We are looking for the x-value in the vertex of this parabola.

To find the vertex, you can simply use: -b/2a

In this equation, b = 1 and a = -0.5

-1/2(-0.5)
-1/-1
1