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What is the effect on the graph of f(x) = 1 when it is transformed tog(T) = 1 +17?A. The graph of f(x) is shifted 17 units up.B. The graph of f(x) is shifted 17 units to the left.ОООC. The graph of f(x) is shifted 17 units to the right.D. The graph of Fx) is shifted 17 units down.SUBMIT

Respuesta :

This is a vertical translation, given a function f(x):

[tex]f(x)+k[/tex]

shift the graph f (x) k units up.

and

[tex]f(x)-k[/tex]

shift the graph f (x) k units down.

so:

[tex]g(x)=\frac{1}{x}+17=f(x)+17[/tex]

Therefore, we can conclude:

The graph of f(x) is shifted 17 units up

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