The graph of the function y= |x - 2| + 3 is obtained from the graph y = |x| by t

ID: 3407425 • Letter: T

Question

The graph of the function y= |x - 2| + 3 is obtained from the graph y = |x| by the following transformations

A.horizontal shift 2 units to the left and vertical shift 3 units up

B.horizontal shift 2 units to the left and vertical shift 3 units down

C.horizontal shift 2 units to the right and vertical shift 3 units up

D.horizontal shift 2 units to the right and vertical shift 3 units down

E.horizontal stretch by 2 units and shift 3 units up

F.horizontal stretch by 2 units and shift 3 units down

G.none of the above

y = |x| and y = |X - 2| + 3

Transformation 1 : |x| becomes |x - 2|

This indicates a right shift by 2 units

Transformation 2 : |x - 2| becomes |x - 2| + 3

This indicates an up shift by 3 units

So, the answer is :

C.horizontal shift 2 units to the right and vertical shift 3 units up ---> ANSWER

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