Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Section 8.3 - Quadratic Functions and Their Graphs - Exercise Set - Page 626: 14

Answer

$(2,-11)$.

Work Step by Step

If the equation of a quadratic function is $f(x)=\pm(x-k)^2+m$. Then the vertex of the function is at $(k,m)$. $3x^2-12x+1=3(x^2-4x)+1=3(x-2)^2-12+1=3(x-2)^2-11$ Hence here the vertex is $(2,-11)$.
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