Question

ubic and cube root functions and equations
zander graphs two functions, the parent function $f(x)=x^{3}$ and the translated function $g(x)=(x-6)^{3}+4$.
he first graphs $f(x)$ as shown.
what adjustments should he make to the graph of $f(x)$ to graph $g(x)$?
enter your answers in the boxes.
to transform $f(x)$ into $g(x)$, zander should move all the points of $f(x)$ $square$ units to the right and $square$ units up.

Explanation:

Step1: Identify horizontal shift rule

For $f(x-h)^3$, shift right by $h$.
Here, $g(x)=(x-6)^3+4$, so $h=6$.

Step2: Identify vertical shift rule

For $f(x)^3+k$, shift up by $k$.
Here, $g(x)=(x-6)^3+4$, so $k=4$.

Answer:

To transform $f(x)$ into $g(x)$, Zander should move all the points of $f(x)$ $\boldsymbol{6}$ units to the right and $\boldsymbol{4}$ units up.