Question

transforming a cube root function
move the sliders to change the values of h and k so that the
\turning point\ of the cube root is at (3,6).
type the equation that would move the \turning point\ to (3,6)
\\(\sqrt3{x - 3}+6\\)
**type nthroot to make a cube root
\\(h=-3\\)
\\(k = 6\\)

Explanation:

Step1: Recall cube root vertex form

The general vertex form of a cube root function is $y=\sqrt[3]{x-h}+k$, where $(h,k)$ is the "turning point" (vertex).

Step2: Substitute given vertex values

We need the turning point at $(3,6)$, so substitute $h=3$ and $k=6$ into the vertex form.
$y=\sqrt[3]{x-3}+6$

Answer:

$\sqrt[3]{x-3}+6$