Question

The last question 4. Is 1.5 56ft PLZ HELP GOD BLESS U AND UR GRades

Answer 1

Answer: First option.

Explanation:

You know that the following function model the height "h" of the ball (in feet) after a time "t" (in seconds):

`h=-16t^2+48t+8`

Notice that it is a Quadratic function, therefore, it is a parabola.

Then, the x-coordinate of its vertex will give you the time in seconds in which the balll reaches its maximum height and the y-coordinate of the vertex will give you the ball's maximum height.

You can find the x-coordinate of the vertex with this formula:

`x=t=(-b)/(2a)`

You can identify that:

`a=-16\\b=48`

Substituting values, you get:

`x=t=(-48)/(2(-16))=1.5`

FInally, you must substiute this value into the Quadratic function and then evaluate in order to find the ball's maximum height.

This is:

`h=-16(1.5)^2+48(1.5)+8=44`