Question

Here’s the question. Just let me know when you get the answer. This is just from a homework practice. I’ll send the other options to choose from

Answer 1

C

1) In this question, we will identify the transformation by its algebraic representation and then match it with the corresponding graph.

2) Let's consider the parent function to be f(x)=x³-10 the transformed version is g(x) we can see that g(x) is:

• Horizontally translated

,

• Shifted Down.

So, we can write g(x) as:

$\begin{gathered} f(x)=x^{3}-10 \\ g(x)=(x-2)^3-10+16 \\ g(x)=(x-2)^3+6 \end{gathered}$

Thus, the answer is C