CPM Homework Help : PC3 Problem 4-27

Curve, starting from upper left, turning at the approximate points (negative 2.25, comma negative 35), & (0.25, comma 25) & the exact point, (2, comma 0) & continuing up & right, passing through the exact points (negative 3 comma 0), & (negative 1, comma 0). Write a possible equation for the graph at right.

Hint:

If $x=n$ is a root ( $x$ -intercept), then $(x−n)$ is a factor in the equation of the function.

Explain how you can decide if your equation represents the graph. What can you do to the equation to make it a better fit for the graph if needed?
Hint (a):
$f(x)=a(x+3)(x+?)(x−?)^2$
The graph goes through the point $(1,16)$ . Use this information to test the accuracy of your equation and make adjustments if needed.
Hint (b):
Solve: $16=a(1+3)(1+?)(1−?)^2$