The function, f(x)=sin x, is transformed as follows: a vertical stretch by a factor of 3
horizontal stretch by a factor of 2
phase shift units right
translated 1 unit down.

1.What is the equation for the resulting function?

2.Graph two full cycles of the resulting function. (Label all axes, scale and intercepts).

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).