Example QEQ.0: Suppose
$f(x)=2(x-1)^2 - 8 = 0$. Find $x$.
The function $f$ is best understood as the composition of the four core functions $f_{-8}∘f_{∗2}∘q∘f_{−1}$.
Draw a mapping diagram yourself or use the diagram created with GeoGebra to explore the diagram further.