Transformation of Functions · Exercise 83

Write a formula for the function $g$ that results when the graph of a given toolkit function is transformed as described.

The graph of $f\left(x\right)=\frac{1}{x^2}$ is vertically compressed by a factor of $\frac{1}{3},$ then shifted to the left 2 units and down 3 units.

This problem refers to a figure in its source book that isn't reproduced here.

OpenStax, Algebra and Trigonometry 2e · §3.5 Transformation of Functions · Exercise 83