Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 3 - Quadratic Functions - Exercises for Skills for Completing the Square - Page 138: 12



Work Step by Step

Completing the square in order to write the equation in the form $a(x-h)^2+k$, we find: $$ 3\left(x^2-4x+\frac{13}{3}+\left(-2\right)^2-\left(-2\right)^2\right) \\ 3\left(\left(x-2\right)^2+\frac{13}{3}-\left(-2\right)^2\right) \\ 3\left(x-2\right)^2+1$$
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