Alright, I know this, but its been a long semester, haha.
What is the maximum height, how long does it take, what is the y intercept.
There won't be a intercept, as there is no in your equation.
I think you mean the intercept.
Let .
Then
.
Since the coefficient of is negative, you WILL have a maximum. To find it, put the equation in Turning Point Form by Completing the Square.
.
So the Turning point is .
So the maximum value of is which occurs when .