$\"\"$

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(a)

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The function is $\"\"$ .

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

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Therefore, $\"\"$ is the graph of $\"\"$ shifted $\"\"$ units downward. \ \

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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) Shift the graph of $\"\"$ to a distance of $\"\"$ units downward.

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$\"\"$

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$\"\"$

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(b)

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The function is $\"\"$ .

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Horizontal shift : $\"\"$ , shift the graph of $\"\"$ a distance $\"\"$ units to the right.

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Therefore, $\"\"$ is the graph of $\"\"$ shifted $\"\"$ units to the right. \ \

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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) Shift the graph of $\"\"$ to a distance of $\"\"$ units to the right.

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$\"\"$

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$\"\"$

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(c)

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The function is $\"\"$ .

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

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

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Therefore, $\"\"$ is the graph of $\"\"$ stretched vertically by a factor of $\"\"$ and reflect about the $\"\"$ axis. \ \

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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) Stretch the graph of $\"\"$ vertically by a factor of $\"\"$ and reflect about the $\"\"$ axis.

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$\"\"$

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$\"\"$

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(d)

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The function is $\"\"$ .

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Horizontal stretch : $\"\"$ , stretch the graph of $\"\"$ horizontally by a factor of $\"\"$ .

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

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Therefore, $\"\"$ is the graph of $\"\"$ stretched horizontally by a factor of $\"\"$ and shifted $\"\"$ unit upward.

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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) Stretch the graph of $\"\"$ horizontally by a factor of $\"\"$ and shifted $\"\"$ unit upward.

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$\"\"$

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$\"\"$

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(a) Graph of the function $\"\"$ is

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$\"\"$

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(b) Graph of the function $\"\"$ is

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$\"\"$

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(c) Graph of the function $\"\"$ is

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$\"\"$

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(d) Graph of the function $\"\"$ is

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$\"\"$