Question

Which of the following functions is graphed below

Answer 1

yes y = |x+4| - 2 because you translated left 4 units and then down 2 units

Answer 2

Answer:  The correct option is (C) $y=|x+4|-2.$

Step-by-step explanation:  We are given to select the correct function that is graphed in the figure shown.

We can see that

the graphed function is an absolute one with vertex at the point (-4, -2).

The equation for the absolute function with vertex at the point (h, k) is given by

$y=|x-h|+k~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

For the given function, we have

vertex, (h, k) = (-4, -2).

Therefore, from equation (i), we get

$y=|x-h|+k\\\\\Rightarrow y=|x-(-4)|+(-2)\\\\\Rightarrow y=|x+4|-2.$

Thus, the required graphed function is $y=|x+4|-2.$

Option (C) is CORRECT.