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?

Question

Mathematics

Jonathon Gordon

11 July, 00:16

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?

+5

Answers (1)

Know the Answer?

Trent Williams · Answer 1

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

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?