Question

PLEASE HELP
Create a cubic function that is not the parent function.

Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.

Answer 1

A cubic function is a function that has a power of 3, and three real roots.

The cubic function is $\mathbf{g(x) = -x^3}$, and the transformation is a reflection across the y-axis

The parent cubic function

$\mathbf{f(x) = x^3}$

A transformed function of the cubic function may be

$\mathbf{g(x) = -x^3}$

g(x) means that function f(x) is reflected across the y-axis.

The rule of this transformation is:

$\mathbf{(x,y) \to (x,-y)}$

So, we have:

$\mathbf{g(x) = -f(x)}$

Substitute x^3 for f(x)

$\mathbf{g(x) = -x^3}$

Hence, the cubic function is $\mathbf{g(x) = -x^3}$, and the transformation is a reflection across the y-axis

Read more about cubic functions at:

https://brainly.com/question/20896994