$\"\"$

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The exponential function is $\"\"$ .

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(a)

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Property : $\"\"$ reflects the graph of $\"\"$ about $\"\"$ axis.

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Graph :

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Graph the functions $\"\"$ and $\"\"$ .

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Reflect the graph of $\"\"$ about $\"\"$ axis.

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$\"\"$

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Observe the graph ;

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Hence the graph of the function $\"\"$ is refected about $\"\"$ axis is $\"\"$ .

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To find reflection of the graph $\"\"$ about the line $\"\"$ , shift the graph of $\"\"$ by $\"\"$ units upwards.

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$\"\"$

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Property : $\"\"$ shifts the graph of $\"\"$ to a distance of $\"\"$ units upwards.

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Graph :

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Graph the function $\"\"$ .

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Shift the graph of $\"\"$ by $\"\"$ units upwards.

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$\"\"$

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Observe the graph :

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The graph of the function $\"\"$ is shift $\"\"$ units upwards.

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Hence the graph of the function $\"\"$ shift $\"\"$ units upwards is $\"\"$ .

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$\"\"$

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The exponential function is $\"\"$ .

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(b)

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Property : $\"\"$ reflects the graph of $\"\"$ about $\"\"$ axis.

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Graph :

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Graph the functions $\"\"$ and $\"\"$ .

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Reflect the graph of $\"\"$ about $\"\"$ axis.

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$\"\"$

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Observe the graph ;

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Hence the graph of the function $\"\"$ is refected about $\"\"$ axis is $\"\"$ .

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To find reflection of the graph $\"\"$ about the line $\"\"$ , shift the graph of $\"\"$ by $\"\"$ units right.

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$\"\"$

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Property : $\"\"$ shifts the graph of $\"\"$ to a distance of $\"\"$ units right.

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Graph :

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Graph the function $\"\"$ .

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Shift the graph of $\"\"$ by $\"\"$ units right.

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$\"\"$

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Observe the graph ;

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The graph of the function $\"\"$ is shift $\"\"$ units right.

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Hence the graph of the function $\"\"$ reflected about $\"\"$ is $\"\"$ .

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$\"\"$

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(a) $\"\"$ .

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(b) $\"\"$ .