Question

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

Answer 1

Answer:

$f(x)=|x+5|-1$

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 $f(x)=|x-1|-5$ or $f(x)=|x+1|-5$

You ask, why is it not $f(x)=|x-5|-1$ ? 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|