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The graph of y=x^2 is reflected in the x-axis, then stretched vertically by a factor of 2, and then translated 3 units to the left and 1 unit down. I need to write the equation of this parabola in standard and general form. I have 4 other questions so could someone please show me all the steps involved so I can learn to do them. Please and thank you so much.

  • conics -

    start with
    y = x^2

    "reflected in the x-axis" ---> y = -x^2
    "stretched vertically by a factor of 2 ---> y = -2x^2
    "translated 3 units to the left, 1 unit down
    ----> y = -2(x+3) -1

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