Question

Question 3(Multiple Choice Worth 5 points)

Answer 1

Answer: Second option.

Step-by-step explanation:

Below are some transformation for a function f(x):

If $f(x)+k$ then the function is shifted up "k" units.

If $f(x)-k$ then the function is shifted down "k" units.

If $f(x+k)$ then the function is shifted "k" units to the left.

If $f(x-k)$ then the function is shifted "k" units to the right.

Knowing this tranformations and given the parent function $f(x)=x^3$ and the function $g(x) = (x -2)^3 + 7$, we can conclude that the function g(x) is shifted 2 units to the right and 7 units up.

We can observe that this matches with the second option.