# Calculus

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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 :)

• Calculus -

plug in numbers and see for yourself!

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

are they or they not identical?

• Calculus -

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.

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