CPM Homework Help : PC3 Problem 9-56

Periodic curve, x axis scaled from negative pi to pi, with 4 visible turning points at (negative 3 fourths pi, comma negative 1), (negative 1 fourth pi, comma negative 5), (1 fourth pi, comma negative 1), & (3 fourths pi, comma negative 5), & y intercept at (0, comma negative 3). Write a possible equation for the graph at right.

Hint:

Sketch the midline and maximum and minimum boundary lines.
From those, you can determine the vertical shift and amplitude.

More Help:

Use a sine function so that there is no horizontal shift.
You also need to determine the period.