Question

I need help with this question please. The first graph is option A

Answer 1

Given

Original function:

`f(x)\text{ = }(1)/(4)x^3\text{ -6}`

Given that:

`g(x)\text{ =f(x}-3)\text{ + 10}`

We can find the expression for g(x) using the given rule:

`\begin{gathered} g(x)\text{ = }(1)/(4)(x-3)^3-6\text{ + 10} \\ =\text{ }(1)/(4)(x-3)^3\text{ + 4} \end{gathered}`

Using a graphing calculator, we can graph f(x) and g(x) as shown below:

Hence, the correct option is Option C

Answer: Option C