Question

How does the graph of f(x) = (3)+²-1relate to its parent function?

A. The parent function has been compressed.
B. The parent function has been stretched.
C. The parent function has been translated down.
D. The parent function has been translated to the left.

Answer 1

C)

Explanation:

The correct answer is C. The parent function has been translated down.

In the given function f(x) = (3x)^2 - 1, the parent function is f(x) = x^2. The function f(x) = (3x)^2 - 1 is obtained by applying a vertical translation downward by 1 unit to the parent function f(x) = x^2. This is because the term "-1" in the given function shifts the graph downward by 1 unit.