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?
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
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 ....