MathDB
Quadratic

Source: AMC 10 2006A, Problem 8

February 6, 2006
quadraticsconicsparabolaAMC

Problem Statement

A parabola with equation y \equal{} x^2 \plus{} bx \plus{} c passes through the points (2,3) (2,3) and (4,3) (4,3). What is c c? <spanclass=′latex−bold′>(A)</span>2<spanclass=′latex−bold′>(B)</span>5<spanclass=′latex−bold′>(C)</span>7<spanclass=′latex−bold′>(D)</span>10<spanclass=′latex−bold′>(E)</span>11 <span class='latex-bold'>(A) </span> 2 \qquad <span class='latex-bold'>(B) </span> 5 \qquad <span class='latex-bold'>(C) </span> 7 \qquad <span class='latex-bold'>(D) </span> 10 \qquad <span class='latex-bold'>(E) </span> 11
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