Describe Each Function Transformation using words
\[ \begin{{array}}{{rcl}} y&=&f(x)-12\\ y&=&f(x-12)\\ y&=&-3f(x)\\ y&=&f(-3x) \end{{array}} \]Solution
In order:
1) Shift down 12 units.
2) Shift Right 12 units.
3) Reflect over the \(x\)-axis and stretch by a factor of 3.
4) Reflect over the \(y\)-axis and compress by a factor of \(\frac{{1}}{{3}}\).