# A Dozen Minima for a Parabola

by Leon M. Hall (University of Missouri-Rolla)

College Mathematics Journal
March, 2003

Subject classification(s): Calculus
Applicable Course(s): 3.1 Mainstream Calculus I

Except at the vertex, the normal to a parabola at $$P$$ intersects it again at a point $$Q$$. There are many interesting minimization problems generated by the line segment $$PQ$$.

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