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8 November, 13:03

Given the functions f (x) = and g (x) =

Which statement describes the transformation of the graph of function f onto the graph of function g?

The graph shifts 8 units right and 7 units down.

The graph shifts 8 units left and 7 units up.

The graph shifts 7 units right and 8 units down.

The graph shifts 7 units left and 8 units up.

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  1. 8 November, 14:32
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    f (x) = (1 / (x-2)) + 1g (x) = (1 / (x + 5)) + 9

    Transformation of functions:

    Suppose that k> 0

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

    To graph y = f (x) - k, move the graph of k units down.

    Suppose that h> 0

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

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

    f (x) = (1 / (x-2)) + 1

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

    h (x) = (1 / (x-2)) + 1 + 8

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

    g (x) = (1 / (x-2 + 7)) + 1 + 8

    g (x) = (1 / (x + 5)) + 9

    Answer:

    The graph shifts 7 units left and 8 units up.
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