Rocket a; y=-6x^2+96x. rocket b: y=-4c^2+80x. rocket. —- reaches a maximum height that is greater than the maximum height of rocket ——/

Rocket. B reaches a maximum height that is greater than the maximum height of Rocket A/

Step-by-step explanation:

Notice that both expressions for the rockets' height are parabolas with branches pointing down (they both have a negative leading coefficient), so in order to find the maximum altitude they reach, we just need to find the y-value associated with the vertex of those parabolas.

Recall that the x-value of the parabola's vertex for a parabola of the form is:

therefore, analyzing each rocket trajectory at a time, we get:

Rocket A:

Then we evaluate the rocket's position expression for x = 8:

Rocket B:

Then we evaluate the rocket's position expression for x = 10:

Therefore, rocket B reaches a greater maximum height than rocket A