Question

a rocket is launched in the air. the graph below shows the height of the rocket h in feet after t seconds.

answer attempt 1 out of 2

the x - coordinate (or t - coordinate) of the vertex is
and represents

the y - coordinate (or h - coordinate) of the vertex is
and represents

Explanation:

Step1: Identify vertex coordinates

The vertex of the parabola (the graph of the rocket's height) is given as the point \((20, 6400)\) from the graph.

Step2: Determine x - coordinate (t - coordinate)

The x - coordinate (or t - coordinate) of the vertex is the first value in the ordered pair \((20, 6400)\), so it is 20. This represents the time (in seconds) at which the rocket reaches its maximum height.

Step3: Determine y - coordinate (h - coordinate)

The y - coordinate (or h - coordinate) of the vertex is the second value in the ordered pair \((20, 6400)\), so it is 6400. This represents the maximum height (in feet) that the rocket reaches.

Answer:

The x - coordinate (or t - coordinate) of the vertex is \(\boldsymbol{20}\) and represents the time (in seconds) when the rocket reaches its maximum height.
The y - coordinate (or h - coordinate) of the vertex is \(\boldsymbol{6400}\) and represents the maximum height (in feet) of the rocket.