8
QuizMultiple Choice

The Cubing Function — Quiz

Question 8 • Algebraic Reasoning

The graph of the parent function f of x is equal to x cubed is translated to form the graph of g of x is equal to x plus 5 cubed minus 6 The point 0 comma 0 on the graph of f of x corresponds to which point on the graph of g of x ?

Answer
A
negative 5 comma 6
B
5 comma negative 6
C
5 comma 6
D
negative 5 comma negative 6

Explanation

In g(x) = (x + 5)^3 − 6, the +5 inside the cube shifts the graph 5 units left, and the −6 shifts it 6 units down. So the point (0, 0) moves to (−5, −6), which is choice D.

AI-written and checked against the verified answer.

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