If f(x) = (x - 2)2 and g(x) = (-x - 2)2, which statement is true about the graph of g(x)?

A) It is the reflection of f(x) through the x-axis
B) It is the reflection of f(x) through the y-axis
C) It is a vertical shift of f(x) 2 units upward
D) It is a vertical shift of f(x) 2 units downward

Question

If f(x) = (x - 2)2 and g(x) = (-x - 2)2, which statement is true about the graph of g(x)?

A) It is the reflection of f(x) through the x-axis
B) It is the reflection of f(x) through the y-axis
C) It is a vertical shift of f(x) 2 units upward
D) It is a vertical shift of f(x) 2 units downward

anonymous · Answer

$$f(x)=(x-2)^2$$
$$f(-x)=(-x-2)^2$$

anonymous · Answer

$$f(-x)$$ reflects $f(x)$ about the $y$ axis