Okay, I have a graph of the f(x). It is a parabola that opens up. What does the graph of f(|x|) look like (the absolute value). Is it the same, or flipped or translated? Can someone describe what it looks like to me please :)

Answer 1

plug in numbers and see for yourself!

y=x^2
y=(|x|)^2

are they or they not identical?

Answer 2

The absolute value of x is always positive; so is the square. So the shape will remain invariant under this transformation, and so will be its position.