Problem 153 of 7
Explain why completed-square form q(x)=(1/2)(x-4)^2 reveals an extreme value.
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reason that squared term is nonnegative.
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Function must be in completed-square form.
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Solution
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1. Identify the squared term and its minimum value of 0.
2. Apply the coefficient sign to determine maximum or minimum.
3. Explain the resulting extreme value.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Explanations that only name the vertex without explaining why it is extreme.