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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