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I am given the graph of y=f(x) and I am asked to sketch the graph of y=-2f(-x). How do I move and/or rotate the given graph?

  • Pre-calc -

    if you have f(x), then to get f(-x) you just flip the graph over the y-axis

    Now, scale that by a factor of 2 to get 2f(-x)

    Now, flip the whole shebang over the x-axis to get -2f(-x)

    play around with online graphing sites and you can see what happens by doing these kinds of transformations

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