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13 September, 00:50

The function g (x) = (x-2^2. The function f (x) = g (x) + 3

The function f (x) is shifted horizontally how many places to where?

The function f (x) is shifted vertically how many places where?

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Answers (1)
  1. 13 September, 01:07
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    The parent function is:

    y = x ^ 2

    Applying the following function transformation we have:

    Horizontal translations:

    Suppose that h> 0

    To graph y = f (x-h), move the graph of h units to the right.

    We have then:

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

    Then, we have the following function transformation:

    Vertical translations

    Suppose that k> 0

    To graph y = f (x) + k, move the graph of k units up.

    We have then that the original function is:

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

    Applying the transformation we have

    f (x) = g (x) + 3

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

    Answer:

    the function f (x) moves horizontally 2 units rigth.

    The function f (x) is shifted vertically 3 units up.
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