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

1. $y = \left(x + 1\right)^{2}\left(x − 2\right)^{2}\left(x − 5\right)^{2}$

   Hint (a):

   What are the roots?

   Answer 1(a):

   

   More Help (a):

   Look closely at the equation and graph, what are the x-intercepts?

   Answer 2(a):

   Double roots at $−1, 2, 5$.

2. $y = −\left(x + 1\right)^{2}\left(x − 2\right)^{2}\left(x − 5\right)^{2}$