The initial height is 5 feet.
From the graph
x min = 0 and x max = 5
y min = 0 and y max = 9
Time to reach maximum height = 2 seconds
Rocket's maximum height is 9 feet
Total time in the air is 5 seconds
How to find the initial height
The initial height is given by the constant term in the equation. Or the y intercept of the graph, which is 5 feet
The rocket reaches its maximum height at the x-coordinate of the vertex of the parabola. x = 2
The maximum height is the value of y when the rocket reaches its vertex. y coordinate of the vertex, y = 9
The total time in the air is the time it takes for the rocket to go up and come back down. From the graph, this is 5 seconds