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 - Strengthen Your Understanding - Page 130: 10



Work Step by Step

All quadratic functions can be written in the form of $$f(x)=a(x-b)^2+c$$ for some real value of $b,c$ and $a\ne0$. Therefore, this can be interpreted as a transformation of a basic parabola $y=x^2$ for all quadratic functions. Thus, all quadratic functions are graphed as a parabola.
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