Question

Which of the following functions is graphed below

Answer 1

the answer is A, y=|x-8|+2

Answer 2

Answer: A. $y=|x-8|+2$

Step-by-step explanation:

Consider the absolute function $y=|x|$ as the parent function.

The vertex of the absolute function is at origin (0,0).

From the graph we can see that the vertex of point lies at point (8,2).

It means the parent function translates 8 units to the right and 2 units upwards.

When we translates the absolute function by h units right and k units upwards, the new function look like :

$y=|x-h|+k$

Then , the function of the given graph will be :-

$y=|x-8|+2$