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

Kameron

5 December, 01:56

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?

+3

Answers (1)

Know the Answer?

Isabell Hogan · 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?