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Let $\"\"$ be a point on the $\"\"$ .

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(a) Express the distance $\"\"$ from $\"\"$ to the point $\"\"$ as a function of $\"\"$ .

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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(b) What is $\"\"$ if $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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(c) What is $\"\"$ if $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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(d) Graph the function $\"\"$ .

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Graph of $\"\"$ :

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$\"\"$

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(e) For what values of $\"\"$ is $\"\"$ smallest ?

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Plot the local minimum points on the graph of $\"\"$ .

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$\"\"$

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Observe the graph:

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The local minimu points are $\"\"$ .

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$\"\"$ is smallest when $\"\"$ or $\"\"$ .

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(a) $\"\"$ .

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(b) $\"\"$ .

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(c) $\"\"$ .

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(d) Graph of $\"\"$ :

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$\"\"$

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(e) $\"\"$ is smallest when $\"\"$ or $\"\"$ .