### Home > CCA2 > Chapter 9 > Lesson 9.3.2 > Problem9-93

9-93.

Make a sketch of the graph of each of the following functions. Describe the graphs.

1. $y = (x + 1)^2(x - 2)^2(x - 5)^2$

Identify the $y$-intercept and all of the $x$-intercepts.

What is the degree of the polynomial?
How does this relate to the end behavior of the graph?

Any factor that is 'squared' creates a double root.
What do double roots look like on a graph?

1. $y = -(x + 1)^2(x - 2)^2(x - 5)^2$

This graph is almost the same as the graph in part (a).
How is it different?