$\"\"$

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(a)

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The parent function is $\"\"$ .

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Graph of the parent function $\"\"$ is : \ \

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$\"$

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Let $\"\"$ be the transformation function.

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Observe the two graphs of f and g :

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The graph of g is a vertical shrink (each y - value is multiplied by $\"\"$ ) of the graph of $\"\"$ .

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So, the equation for the graph is $\"\"$ . $\"\"$

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(b)

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The parent function is $\"\"$ .

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Graph of the parent function $\"\"$ is : \ \

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$\"$

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Let $\"\"$ be the transformation function.

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Observe the two graphs of f and g :

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The graph of g is a reflection in the x - axis followed by a vertical stretch (each y - value is multiplied by 2) of the graph of $\"\"$ .

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So, the equation for the graph is $\"\"$ . $\"\"$

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(a) The equation of graph is $\"\"$ .

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(b) The equation of graph is $\"\"$ .