Question

david throws a ball up in the air. the graph below shows the height of the ball h in feet after t seconds. what is the balls greatest height?

Explanation:

Step1: Identify the vertex of the graph

The graph of the ball's height is a parabola. The vertex of a parabola represents the maximum or minimum value. For a ball - thrown - up situation, the vertex gives the maximum height. The vertex of the given parabola is the point $(0.75,9)$.

Step2: Determine the maximum height

The second coordinate of the vertex represents the maximum height of the ball.

Answer:

9