Question

Which statement best describes how the graph of g is a transformation of the graph of f?
g(x) = f(-x)

-The graph of g is vertical reflection across the x-axis of the graph of f
-The graph of g is a horizontal compression of the graph of f
-The graph of g is a horizontal reflection across the y-axis of the graph of f
-The graph of g is vertical stretch of the graph of f

Answer 1

it is symmetric about the y-axis, so ...

Answer 2

I'm guessing that means the answer is:
The graph of g is a horizontal reflection across the y-axis of the graph of f?

Say it said g(x) = -f(x)
would that just mean it is symmetric about the x-axis?

Answer 3

correct on both counts.