Question 3(multiple choice worth 5 points) (03.03 lc) how does the graph of g(x) = (x − 2)3 + 7 compare to the parent function f(x) = x3? g(x) is shifted 7 units to the right and 2 units up. g(x) is shifted 2 units to the right and 7 units up. g(x) is shifted 7 units to the right and 2 units down. g(x) is shifted 2 units to the left and 7 units up.

Second option.

Step-by-step explanation:

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

If then the function is shifted up "k" units.

If then the function is shifted down "k" units.

If then the function is shifted "k" units to the left.

If then the function is shifted "k" units to the right.

Knowing this tranformations and given the parent function and the function , 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.

step-by-step explanation:

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