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Question

Plot the graph of f(x−1) if the graph of f(x) looks like


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 A


f(x) becomes zero at x=0
Let f(x)=f(x1), this function will become zero when x=1. For the same value of y, lets find the value of x, for f(x) and f(x)

y1 = f(x) = f(x)

y1 = f(x1) = f(x2 1)

x2 = x1 + 1

This means, f(x) will attain the same value y after 1 unit. So the graph will be shifted 1 unit to the right.


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