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Select the correct answer Which function is represented in this graph
F(x) = |x-1| - 5
F(x) = |x-5| - 1
F(x) = |x + 5| - 1
F(x) = |x+ 1| - 5

Select the correct answer Which function is represented in this graph Fx x1 5 Fx x5 1 Fx x 5 1 Fx x 1 5 class=

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Mirandawolfaj

Answer:

[tex]f(x)=|x+5|-1[/tex]

Step-by-step explanation:

The graph depicted is moved 5 left and 1 down from the parent function.

When the graph is horizontally moved(x axis), it is inside the absolute value signs. So it cannot be [tex]f(x)=|x-1|-5[/tex] or [tex]f(x)=|x+1|-5[/tex]

You ask, why is it not [tex]f(x)=|x-5|-1[/tex] ? The graph is moved left by 5 after all.

Because when the graph is moved right by 5, it is |x-5| and when its moved left by 5, it is |x+5|

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