$\"\"$

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The equation of the parabola is $\"\"$ .

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Graph the family of parabolas for $\"\"$ , $\"\"$ and $\"\"$ .

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Substitute $\"\"$ in the function $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in the function $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in the function $\"\"$

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$\"\"$

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Therefore the functions are $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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Graph:

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Graph the functions for $\"\"$ , $\"\"$ , $\"\"$ .

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$\"\"$

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As the value of $\"\"$ changes the vertex changes.

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$\"\"$

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Graph of the family of parabols is:

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$\"\"$

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As the value of $\"\"$ changes the vertex changes.