Question

a rocket is launched in the air. the graph below shows the height of the rocket h in feet after t seconds. what is the rocket’s greatest height?

Explanation:

Step1: Analyze the graph

The graph shows the height $h$ of the rocket as a function of time $t$. The height of the rocket is represented on the vertical - axis and time on the horizontal - axis.

Step2: Identify the vertex

The vertex of a parabola (which this height - time graph appears to be) represents the maximum or minimum value of the function. For a rocket's height - time graph, the vertex gives the maximum height. The coordinates of the vertex are given as $(22.5,8100)$. The second coordinate of the vertex represents the height.

Answer:

8100 feet