Question

The distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t, in seconds can be modeled by the graph below. Which equation is represented in the graph below? On a coordinate plane, a curve crosses the y-axis at (0, negative 5). It increases to (1, 5) and then decreases to (2, negative 5). 5 cycles are shown.

Answer 1

The travel of the spring is it’s amplitude, which is a cosine function.

The lowest y value is -5

Multiply that by cosine of pi x time

The formula is d = -5cos(pi t)