Question

If the graph of f(x) looks like the top graph in the screenshot, which of the following represents the graph of f(|x|)?

paste.pics/708fe5c06e18ef0ab5381347eddfc2c9

Go to this website for the screenshot

Answer 1

f(|x|) is the graph of f(x) when x > 0, reflected across the y-axis.
For example, f(|-2|) = f(2).
So, it will be symmetric about the y-axis.

Answer 2

for anyone in the future: it's the second option in that screenshot, where the left side of the graph looks exactly like the original right side.

or, the option that has both (-2, 2) and (2, 2)