Quadratic functions form parabolas and come in the form of y=ax^2+bx+c

Below is how to plot a quadratic formula:

If you have a graph, here's how to find the function:

Discriminant: D = b2 - 4ac

• D > 0, the roots are real and distinct
• D = 0, the roots are real and equal.
• D < 0, the roots do not exist or the roots are imaginary

How to solve quadratic equations:

• x2 + (a + b)x + ab = 0
• x2 + ax + bx + ab = 0
• x(x + a) + b(x + a)
• (x + a)(x + b) = 0

• For a > 0, Range: [ f(-b/2a), ∞)
• For a < 0, Range: (-∞, f(-b/2a)]

Quadratic formula:

a ≠ 0: