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

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.