Question

A flying squirrel jumped from a tree branch and floated to the ground. The squirrel's height (in meters above the ground) ttt seconds after jumping is modeled by
h(t)=-2t^2+4t+30h(t)=−2t
2
+4t+30h, left parenthesis, t, right parenthesis, equals, minus, 2, t, squared, plus, 4, t, plus, 30
Suppose we want to know the height of the squirrel 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 squirrel?

Answer 1

Answer:

1) The vertex form of the function reveals the highest point:

h(t)=-2(t-1)^2+32

2) At its highest point, the squirrel was 32 meters above the ground.

Explanation:

took the dumb quiz

Answer 2

The vertex format of the given equation so that the answer appears as a number in the equation is $h(t) = -2(t-1)^2+32$ and at its highest point, the squirrel is 32 meters above the ground.

Given :

• A flying squirrel jumped from a tree branch and floated to the ground.

• $h(t) = -2t^2+4t+30$

1) Write the given equation in vertex formate so that the answer appears as a number in the equation.

$h(t) = -2t^2+4t+30\\h(t) = -2(t^2-2t-15)\\h(t) = -2(t-1)^2+32$

2) From the above equation it can be concluded that at its highest point, the squirrel is 32 meters above the ground.

For more information, refer to the link given below:

https://brainly.com/question/10726356