Vanessa throws a tennis ball in the air. The function h(t) = -15t^2 + 45t + 10 represents the distance in feet, that the ball is from the ground at any time in seconds, t. What is the maximum height of the ball?

Guest Sep 30, 2021

#1**+1 **

Since the leading coefficient is negative, the quadratic opens downward.

The maximum height of the ball is the vertex of the parabola. Formula for the vertex is -b/2a with quadratic equation ax^2+bx+c

So the answer is -45/-30=1.5 feet.

Hope that helps

HedgieWedgie Sep 30, 2021

#2**+2 **

CLOSE HW...but not quite

- b/2a = -45/-30 = 1.5 seconds the TIME the ball is at a maximum

you must sub t = 1.5 into the equation to get the maximum HEIGHT ....

ElectricPavlov Oct 1, 2021