How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) = StartFracti

Question

How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) = StartFraction 1 Over x EndFraction?

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Skylar 3 months 2022-02-10T08:21:31+00:00 2 Answers 0 views 0

Answers ( )

    0
    2022-02-10T08:22:39+00:00

    The transformed equation  [tex]$g(x)=\frac{1}{x+4}-6$[/tex] , the graph is shifted 4 units to the left and 6 units down.

    Explanation:

    The parent equation is [tex]$f(x)=\frac{1}{x}$[/tex]

    The transformed equation is [tex]$g(x)=\frac{1}{x+4}-6$[/tex]

    By using the function transformation rules, we can see that the parent function [tex]$f(x)=\frac{1}{x}$[/tex] is transformed into the function [tex]$g(x)=\frac{1}{x+4}-6$[/tex]

    Since, from the function transformation rules, we know that,

    [tex]$f(x+b)$[/tex] shifts the function b units to the left.

    Thus, the transformed function is shifted 4 units to the left.

    Also,  from the function transformation rules, we know that,

    [tex]$f(x)-b$[/tex] shifts the function b units downward.

    Thus, the transformed function is shifted 6 units down.

    Thus, the transformed equation  [tex]$g(x)=\frac{1}{x+4}-6$[/tex] , the graph is shifted 4 units to the left and 6 units down.

    0
    2022-02-10T08:22:53+00:00

    Answer:

    the graph is shifted 4 units to the left and 6 units down.

    I took the test!

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45:7+7-4:2-5:5*4+35:2 =? ( )