${\displaystyle f(x)=ax^{2}+bx+c}$
When such a function gets plotted on a graph where ${\displaystyle f(x)=y}$, a curve that extends infinitely called a parabola will appear.
The word quadratic comes from the Latin word quadrātum ("square"). This is because of the presence of a number (which is${\displaystyle x^{2}}$ in the standard form) that is the result of squaring its square root (${\displaystyle x\times x=x^{2}}$).