Question

Write the equation for simple harmonic motion of a ball in a spring that starts at its lowest point of 6 inches below equilibrium bounces to its maximum height of 6 inches above equilibrium and returns to its lowest point in a total of 2 seconds

Answer 1

You have x(t)=Acos(wt+q) where A is your amplitude, w your frequency and q your phase.
A is given to you.
To find w, use the information about the period
To find q, consider x(0)