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Question

# The graph of y=(x−1)2+2 is

A
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B
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C
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D
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Solution

## The correct option is C y=(x−1)2+2 can be plotted by using horizontal shifting first and then using vertical shifting or vice-versa. Here, we will plot the graph of y=(x−1)2+2 by using horizontal shifting first and then using vertical shifting. Graph of y=x2 is plotted as Now, y=(x−1)2 is plotted by shifting the graph of y=x2 through 1 unit towards the right along the x-axis. Finally, y=(x−1)2+2 is plotted by shifting the graph of y=(x−1)2 through 2 units upward along the y-axis.

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