The height in meters, of a model rocket above the ground is modeled by the function f (t) = -3t^2 + 12t, where t is time in seconds. What is the maximum height the rocket reaches

12 meters.

Step-by-step explanation:

Given the height function of the rocket:

The function is a parabola which opens up and the maximum height is reached at the axis of symmetry.

Step 1: Determine the equation of symmetry

For any quadratic equation of the form , the equation of symmetry is: .

In the given function: a=-3, b=12

Equation of symmetry :

.

Step 2: Substitute t=2 into f(t) to solve for the maximum height

The maximum height reached by the rocket is 12 meters.

if x = 1, then the answer is 3.5