A quadratic equation is an equation in the form of ax^{2} + bx + c = 0, where a is not equal to zero.
If a is equal to 0, ax^{2} + bx + c = 0 becomes bx + c = 0 and bx + c = 0 is not a quadratic equation.
ax^{2} + bx + c = 0 is called the standard form of a quadratic equation.
A quadratic equation can also be written in vertex form and the vertex form is y = a(x- h)^{2} + k
Examples of quadratic equations
Standard form
y = x^{2} + 6x + 8
y = 3x^{2} + 12x + 8
y = x^{2} + 5x + 6
Vertex form
y = (x + 3)^{2} - 1
y = 3(x + 2)^{2} + -4
y = (x + 5/2)^{2} + -1/4
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