Question

Which of the following functions is graphed below?

Answer 1

D since its absolute value

Answer 2

Answer:

D. $y=|x-2|+3$.

Step-by-step explanation:

We are given, that the parent function is $y=|x|$

Also, the vertex of the graph is (2,3).

That is, the parent function is translated 2 units to the right and then 3 units upwards.

Since, translation by 2 units to the right gives the function $y=|x-2|$.

Then, translation by 3 units up gives the function $y=|x-2|+3$.

Hence, the function graphed is $y=|x-2|+3$.

So, option D is correct.