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Question

The graph of y=(x1)2+2 is

A
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B
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C
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Solution

The correct option is C
y=(x1)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=(x1)2+2 by using horizontal shifting first and then using vertical shifting.

Graph of y=x2 is plotted as


Now, y=(x1)2 is plotted by shifting the graph of y=x2 through 1 unit towards the right along the x-axis.


Finally, y=(x1)2+2 is plotted by shifting the graph of y=(x1)2 through 2 units upward along the y-axis.


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