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A '''quadratic equation''' can take two forms. The general formula, written as a function of <math>x</math>, <math>y=f(x)</math>, is:
A '''quadratic equation''' can take two forms. The general formula, written as a function of <math>x</math>, <math>y=f(x)</math>, is:
:<math>y = ax^2 + bx + c</math>
:<math>a squared plus b squared = c squared</math>
The graph of a quadratic equation is a [[parabola]], one of the [[conic section]]s. (In some cases, the parabola collapses, most obviously when <math>a = 0</math>)
The graph of a quadratic equation is a [[parabola]], one of the [[conic section]]s. (In some cases, the parabola collapses, most obviously when <math>a = 0</math>)