19
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 19 • Algebra II

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 3 cubed minus 4 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
3 comma 4
B
3 comma negative 4
C
negative 3 comma negative 4
D
negative 3 comma 4

Explanation

In g(x) = (x + 3)^3 − 4, the +3 inside the cube shifts the graph 3 units left, and the −4 shifts it 4 units down. So the point (0, 0) moves to (−3, −4). The correct choice is negative 3 comma negative 4.

AI-written and checked against the verified answer.

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