Find the x-intercepts (roots) and y-intercepts for linear and quadratic functions.
Coefficients
Intercept Points
(0, 6.00)Start Point
Y-Intercept (Initial Value)
Roots on X-Axis
(3.00, 0)
(2.00, 0)
Calculation Path
1Y-intercept is always (0, c) \to (0, 6).
2Discriminant \Delta = b^2 - 4ac = 1.
3\Delta > 0, so two real roots exist.
Function TypeQuadratic Parabola
About this calculator
About Intercepts
Intercepts are the coordinates where the graph of a function crosses the x and y axes. The y-intercept is unique for functions (where x=0). X-intercepts occur where the function output is zero (y=0).
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Pro Tips
Set x = 0 to find the y-intercept.
Set y = 0 to find the x-intercepts.
Quadratic functions can have 0, 1, or 2 real x-intercepts (roots).
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Fun Facts
"In projectile motion, x-intercepts represent the launch and landing points."
"The term 'root' originates from the idea that the function grows from these points like a plant."
