### Home > CCA2 > Chapter 8 > Lesson 8.1.1 > Problem8-8

8-8.

For each equation below, make tables that include x-values from $−2\ \text{to}\ 2$ and draw each graph.

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

$\left. \begin{array} { | c | c | } \hline x & { y } \\ \hline - 2 & { - 9 } \\ \hline - 1 & { 0 } \\ \hline 0 & { 1 } \\ \hline 1 & { 0 } \\ \hline 2 & { 3 } \\ \hline \end{array} \right.$

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

1. $y = x ^ { 3 } - 4 x$

Use the same method as in parts (a) and (b).

1. What are the parent functions for these equations?

What is the highest-valued exponent?

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

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

$y = x^{3} − x^{2} − x + 1$

The parent function is $y = x^{3}$.