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Math Help - Function problem

  1. #1
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    Function problem

    Let f(x) = x^2 and g(x)= 2x^2-4x+5.

    (a) Show that g(x)= 2f(x-1)+3. [HINT: Complete the square]

    (b) Explain how the graphs of f and g are related.

    I did a problem similar to this but Im not sure if I solve it the same way. It was perodic problem that I did but I don't know what this problem's period is if there is one
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  2. #2
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    Quote Originally Posted by asweet1 View Post
    Let f(x) = x^2 and g(x)= 2x^2-4x+5.

    (a) Show that g(x)= 2f(x-1)+3. [HINT: Complete the square]

    (b) Explain how the graphs of f and g are related.

    I did a problem similar to this but Im not sure if I solve it the same way. It was perodic problem that I did but I don't know what this problem's period is if there is one
     <br />
2x^2-4x+5 =<br />

    2(x^2-2x+1) + 3 =

    2(x-1)^2 + 3

    g is a transformation of f ... vertical stretch by a factor of 2, horizontal shift right 1, and a vertical shift up 3.
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