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 rockets greatest height?

Explanation:

Step1: Identify the vertex of the parabola

The graph of the rocket's height is a parabola. The vertex of a parabola represents the maximum or minimum value. For a parabola opening down - ward (which is the case here as the rocket goes up and then comes down), the vertex is the maximum point.

Step2: Read the y - coordinate of the vertex

The vertex of the given parabola is the point $(18.5,5476)$. The y - coordinate of the vertex gives the maximum height of the rocket.

Answer:

5476 feet