MathDB
Minimum/Maximum of a Parabola

Source:

June 7, 2009
conicsparabolaanalytic geometryquadraticsfunctioncalculusderivative

Problem Statement

The graph of y \equal{} 2x^2 \plus{} 4x \plus{} 3 has its: (A)\ \text{lowest point at } {(\minus{}1,9)}\qquad (B)\ \text{lowest point at } {(1,1)}\qquad \\ (C)\ \text{lowest point at } {(\minus{}1,1)}\qquad (D)\ \text{highest point at } {(\minus{}1,9)}\qquad \\ (E)\ \text{highest point at } {(\minus{}1,1)}