Question

Given the parent function f(x)=x^3 give the best description of the graph of y=x^3+3

Answer 1

a. translated up 3 units

Explanation:

Given: The parent function f(x) = x^3

The translated function f(x) = x^3 + 3

Here +3 is represents the graph of f(x) = x^3 moves 3 units up.

You can see it on the graph.

Therefore, answer is a. translated up 3 units

Hope you will understand the concept.

Thank you.

Answer 2

Answer: Option a.

Explanation:

The parent function is the simplest form of the function.

Therefore, if you have the parent function given in the problem:

`f(x)=x^(3)`

and you make f(x)+3, then the function will be translated up 3 units.

Then, you obtain:

`y=f(x)+3=x^(3)+3`

Therefore the answer is the option a.