Transformation of Functions · Exercise 50

Tabular representations for the functions $f,g,$ and $h$ are given below. Write $g\left(x\right)$ and $h\left(x\right)$ as transformations of $f\left(x\right).$

$$\begin{array}{cccccc}x& \text{−2}& \text{−1}& \text{0}& \text{1}& \text{2}\\ f\left(x\right)& \text{−1}& \text{−3}& \text{4}& \text{2}& \text{1}\end{array}$$

$$\begin{array}{cccccc}x& \text{−3}& \text{−2}& \text{−1}& \text{0}& \text{1}\\ g\left(x\right)& \text{−1}& \text{−3}& \text{4}& \text{2}& \text{1}\end{array}$$

$$\begin{array}{cccccc}x& \text{−2}& \text{−1}& \text{0}& \text{1}& \text{2}\\ h\left(x\right)& \text{−2}& \text{−4}& \text{3}& \text{1}& \text{0}\end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §3.5 Transformation of Functions · Exercise 50