$\"\"$

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The function is $\"\"$ .

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The function is a cosine function.

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The standard form of the cosine function is $\"\"$ .

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Graph :

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Graph of the sine function $\"\"$ :

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$\"\"$

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$\"\"$

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The function is $\"\"$ .

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Compare the above function with standard cosine function $\"\"$

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So $\"\"$ .

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Reflection : $\"\"$ , reflect the graph of $\"\"$ about the $\"\"$ axis.

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Vertical shift : $\"\"$ , shift the graph of $\"\"$ a distance $\"\"$ units upward.

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Vertical shrink : $\"\"$ , shrink the graph of $\"\"$ vertically by a factor of $\"\"$ .

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Therefore, $\"\"$ is the graph of $\"\"$ first reflect about the $\"\"$ axis and shift a $\"\"$ unit upward, next shrink vertically by a factor of $\"\"$ .

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Graph :

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Graph of the function $\"\"$ .

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(1) Draw the coordinate plane.

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(2) Graph of the function $\"\"$ .

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(3) First reflect the graph of $\"\"$ about the $\"\"$ axis.

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(4) Second shift the graph of $\"\"$ a distance $\"\"$ unit upward.

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(5) Next shrink the graph of $\"\"$ vertically by a factor of $\"\"$ .

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$\"\"$

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$\"\"$

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Graph of the function $\"\"$ is

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$\"\"$