16
QuizMultiple Choice

Square Root and Cube Root Functions — Test

Question 16 • Algebra 2 with Probability

Which describes how to graph g of x is equal to cube root of x minus 5 plus 7 by transforming the parent function?

Answer
A
Translate the parent function 5 units to the right and 7 units up.
B
Translate the parent function 5 units to the left and 7 units up.
C
Translate the parent function 5 units down and 7 units to the right.
D
Translate the parent function 5 units up and 7 units to the right.

Explanation

The parent function is f(x) = ∛x. In g(x) = ∛(x − 5) + 7, subtracting 5 inside the cube root shifts the graph 5 units to the right, and adding 7 outside shifts it 7 units up. So translate the parent function 5 units right and 7 units up.

AI-written and checked against the verified answer.

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