Question

Use transformations of the graph of f(x) =x^3 to determine the graph of the given function.

Answer 1

Recall that the graph of a function l(x), reflected over the x-axis represents the function:

$f(x)=-l(x)\text{.}$

The graph of l(x) translated n units to the left is represented by the function:

$l(x+n)\text{.}$

Therefore, h(x) is f(x) translated 6 units to the left and reflected over the x-axis.

Answer: