Problem 46 of 7
Determine whether f(x)=2(x-1)^2-3 has a maximum or minimum and explain why.
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use sign of leading coefficient.
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Function must be quadratic with nonzero leading coefficient.
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Solution
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1. Identify the leading coefficient.
2. Use its sign to decide whether the graph opens up or down.
3. State minimum for opens up and maximum for opens down.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using the constant term to decide opening direction.