CPM Homework Help : PCT Problem 1-151

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1-151.

Each graph below is a transformation of one of the parent graphs. Write an equation for each graph below.

Parent (a):
$\textit{y} = \textit{x}^3$
Transformations (a):
1. Reflect across $y$ -axis → $y=−x^3$
2. Shifted right $2$ units → $y=−(x−2)^3$
3. Shifted down $3$ units → $y=−(x−2)^3−3$

Parent (b):
$y = |x|$
Transformations (b):
$\text{Shifted left 1 unit}\Rightarrow y =\left | x+1 \right |$
$\text{Shifted down 2 units}\Rightarrow y =\left | x+1 \right |-2$

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