CPM Homework Help : INT3 Problem 12-67

Write a possible equation for the graphs shown below. Then state the amplitude and period of the function. Describe how the graph relates to the parent function.

Hint:

Look at the graph to determine the amplitude, period, phase shift, and vertical shift.

parent: $y=\sin(x)$

Hint (a):
Use the information in $y = a\ \text{sin}\ b\left(x + c\right) + d$
Possible Answer (a):
$y=-2 \text{ sin}\left (\frac{1}{2}\left (x-\frac{\pi}{2}\right )\right )+1$

parent: $y=\cos(x)$