Question

Which describes the effect of the transformations on the graph of f(x) = x when changed to f(x) = (x - 3)^2 - 9?

A. The graph shifts 3 units to the right and 9 units down.
B. The graph shifts 3 units to the left and 9 units up.
C. The graph stretches horizontally by a factor of 3 and shifts down 9 units.
D. The graph remains the same; there is no effect.

Answer 1

The graph of f(x) = x : A) shifts 3 units to the right and 9 units down when changed to f(x) = (x - 3)^²- 9. Hence, A) is correct.

Step-by-step explanation:

The function f(x) = (x - 3)² - 9 represents a transformation of the graph of f(x) = x. Let's break down the effect of each transformation:

• The expression (x - 3)² shifts the graph 3 units to the right.
• The expression -9 shifts the graph 9 units down.

Therefore, the correct answer is A. The graph shifts 3 units to the right and 9 units down.