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Which of the following functions is graphed below?
O A. y -** 2-3
B. y - 4-3
C. y - x - 2-3
OD. y - x - 223

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Using translation concepts, it is found that the function graphed is defined by:

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

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the function has the format of the absolute value function, y = |x|, which has vertex at (0,0). Here, the vertex is at (2,3), that is, the function was shifted:

- 2 units to the right, that is, x -> x + 2.

- 3 units up, that is, y -> y + 3.

Hence the definition is given by:

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

More can be learned about translation concepts at

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