Show that the parabola has its largest curvature at its

Chapter 12, Problem 17E

(choose chapter or problem)

Show that the parabola \(y=a x^{2}, a \neq 0\), has its largest curvature at its vertex and has no minimum curvature. (Note: Since the curvature of a curve remains the same if the curve is translated or rotated, this result is true for any parabola.)

Equation Transcription:

Text Transcription:

y = ax^2 , a neq 0

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