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11 November, 22:07

Write the resulting function if the transformation f (x+3) + 9 is applied on the function f (x) = x^2+1

a) x^2+13

b) x^2+19

c) x^2+6x+19

d) x^2+3x+13

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  1. 11 November, 22:16
    0
    We have the following function:

    f (x) = x ^ 2 + 1

    We apply the transformation f (x + 3) + 9:

    g (x) = (x + 3) ^ 2 + 1 + 9

    Rewriting we have:

    g (x) = (x + 3) * (x + 3) + 1 + 9

    g (x) = (x ^ 2 + 3x + 3x + 9) + 1 + 9

    g (x) = (x ^ 2 + 6x + 9) + 1 + 9

    g (x) = x ^ 2 + 6x + 9 + 1 + 9

    g (x) = x ^ 2 + 6x + 19

    Answer:

    the resulting function if the transformation f (x + 3) + 9 is applied on the function f (x) = x ^ 2 + 1 is:

    c) x ^ 2 + 6x + 19
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