CPM Homework Help : CCA2 Problem 8-8

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8-8.

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

$y = ( x - 1 ) ^ { 2 } ( x + 1 )$
Partial Answer (a):
$\left. \begin{array} { | c | c | } \hline x & { y } \\ \hline - 2 & { - 9 } \\ \hline - 1 & { 0 } \\ \hline 0 & { 1 } \\ \hline 1 & { 0 } \\ \hline 2 & { 3 } \\ \hline \end{array} \right.$

$y = ( x - 1 ) ^ { 2 } ( x + 1 ) ^ { 2 }$
Partial Answer (b):

$y = x ^ { 3 } - 4 x$
Hint (c):
Use the same method as in parts (a) and (b).

What are the parent functions for these equations?
Hint (d):
What is the highest-valued exponent?
Example (d):
$y = \left(x − 1\right)^{2} \left(x + 1\right)$
$y = \left(x^{2} − 2x + 1\right) \left(x + 1\right)$
$y = x^{3} − x^{2} − x + 1$
The parent function is $y = x^{3}$ .

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