Question

Which of the following functions is graphed below?

Answer 1

D since its absolute value

Answer 2

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

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.