The football coach threw a football from a platform to his quarterback below. The height of the football, h, at time t seconds is modeled by the equation h(t) = -16t^2 + 28t + 15.
1. What is the maximum height of the ball?
2. If the quarterback caught the ball at a height of 6 feet, how many seconds was the ball in the air?
3. Give the domain and range of the function.

1)27.25 feet

2)-0.2774,2.027

3)Domain = All real numbers

Range = y∈R :

Step-by-step explanation:

The height of the football, h, at time t seconds is modeled by the equation

General quadratic equation :

1) Maximum height will be at

To find maximum height Substitute in the given equation

2)

Substitute h(t)=6

So,

3)

Domain = All real numbers

Range = y∈R :

the answer is 5/3x+7/5y+7