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Math Help - f(x) problem

  1. #1
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    f(x) problem

    The question is

    Let f(x)= x. Evaluate g(x)= -2f(x+1) + 1 and plot each transformation in steps, the last graph should be the graph of g.
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  2. #2
    Bar0n janvdl's Avatar
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    Quote Originally Posted by romanianxromo View Post
    The question is

    Let f(x)= x. Evaluate g(x)= -2f(x+1) + 1 and plot each transformation in steps, the last graph should be the graph of g.
    Okay let's see...

    If f(x) = x^2 then obviously f(x + 1) = (x + 1)^2

    So then:

    g(x) = -2(x+1)^2 + 1

    Will you be able to draw it now?
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  3. #3
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    Quote Originally Posted by romanianxromo View Post
    The question is

    Let f(x)= x. Evaluate g(x)= -2f(x+1) + 1 and plot each transformation in steps, the last graph should be the graph of g.
    1) f(x+1) = (x+1)^2 parabola centered at -1 facing up.

    2) -2f(x+1) = -2(x+1)^2 parabola centered at -1 facing down and amplified by 2.

    3) -2f(x+1) + 1 = -2(x+1)^2 + 1 parabola centered at -1 facing down and amplified by 2, which is then shifted up along y-axis by 1 unit.
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  4. #4
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    Quote Originally Posted by Isomorphism View Post
    1) f(x+1) = (x+1)^2 parabola centered at -1 facing up.

    2) -2f(x+1) = -2(x+1)^2 parabola centered at -1 facing down and amplified by 2.

    3) -2f(x+1) + 1 = -2(x+1)^2 + 1 parabola centered at -1 facing down and amplified by 2, which is then shifted up along y-axis by 1 unit.
    Thank you! This was very helpful!
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