The graph of the function y x 2 3 is obtained from the gra
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
Solution
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
