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Introducing Calculus

Review question

When is this parabola's turning point nearest to the origin?
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Ref: R9506

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Question

The turning point of the parabola \[y=x^2-2ax+1\] is closest to the origin when

\(a=0\),
\(a=\pm1\),
\(a=\pm \frac{1}{\sqrt{2}}\) or \(a=0\),
\(a=\pm \frac{1}{\sqrt{2}}\).