### Home > PC > Chapter 1 > Lesson 1.4.2 > Problem1-151

1-151.

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

1. $\textit{y} = \textit{x}^3$

1. Reflect across $y$-axis → $y=−x^3$
2. Shifted right $2$ units → $y=−(x−2)^3$
3. Shifted down $3$ units → $y=−(x−2)^3−3$

1. $y = |x|$

$\text{Shifted left 1 unit}\Rightarrow y =\left | x+1 \right |$

$\text{Shifted down 2 units}\Rightarrow y =\left | x+1 \right |-2$