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Graph of Trigonometric Ratios

The graph of ...

Question

The graph of the function $y = 2 cos x + 1$ 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 B
The graph of $y = cos x$ is

Stretching the graph of $cos x$ vertically by $2$ times along $y -$ axis, we get the graph of $y = 2 cos x .$

Now, by shifting the graph of $2 cos x$ by $1$ unit upward along the $y -$ axis, we get the graph of $y = 2 cos x + 1.$

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Graph of Trigonometric Ratios

Standard XII Mathematics

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