Question

A function x)=\sqrt[3]{x}" align="absmiddle" class="latex-formula"> is transformed into the function $g(x)=-\sqrt[3]{x} -8$.
Name the 2 transformations that occurred and describe the general shape of g(x). When describing the shape, you have the option of including a picture of its graph.

PLEASE HELP!!!!!

Answer 1

Answer:

a reflection in the x-axis, and a vertical translation of 8 units down.

Step-by-step explanation:

The given function is

$f(x) = \sqrt[3]{x}$

The transformed function is

$g(x) = - \sqrt[3]{x} - 8$

We can see that the transformation is of the form

$- f(x) - h$

Where h=8 is a downward shift by 8 units.

And the negation tells us that the parent function is reflected in the x-axis