Which of the following functions is graphed below

C: y = |x-2| + 3

Step-by-step explanation:

When dealing with transformations, the numbers in the parentheses is the horizontal translation and the numbers outside the parentheses are vertical translation. The only reason the lines are | rather than ( is that they are absolute value.

When taking the horizontal measures, you always flip the sign. So since it is going to the right 2 times, you would think it would be +2, but since it is in the parentheses it would be -2.

When taking the vertical measures, it's just standard thought. So since it is up 3 it would be +3.

Putting all of that together would give you |x-2|+3

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