Question

Need help with number 2 please!!!

Answer 1

Answer:

Function g(x) is function f(x) vertically stretched by a factor of 6, reflected in the x-axis, and translated 2 units up.

Step-by-step explanation:

The graph of function f(x) is the parent function.

(Parent functions are the simplest form of a given family of functions).

The graph of g(x) is related to the graph of f(x) by a series of transformations.  To determine the series of transformations, work out the steps of how to go from f(x) to g(x).

Step 1

Starting with the parent function x³, multiply by 6:

$\implies 6f(x)=6x^3$

Therefore, this is a vertical stretch by a factor of 6.

Step 2

Now make 6x³ negative:

$\implies -6f(x)=-6x^3$

Therefore, this is a reflection in the x-axis.

Step 3

Finally, add 2:

$\implies -6f(x)+2=-6x^3+2$

Therefore, the function has been translated 2 units up.

Therefore, function g(x) is function f(x) vertically stretched by a factor of 6, reflected in the x-axis, and translated 2 units up.

Learn more about transformations here:

brainly.com/question/27845947