X-intercept And Y-intercept Of A Parabola - Math Warehouse

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Parabola Intercepts

x-intercept and y-intercept of a Parabola

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• X Intercepts
• y Intercepts

x-intercepts vs y intercepts y-intercept

As you can see from the picture below, the y-intercept is the point at which the parabola intercepts the y-axis

x-intercept

The x-intercepts are the points or the point at which the parabola intersects the x-axis. A parabola can have either 2,1 or zero real x intercepts.

x-intercepts in greater depth

A parabola can have 2 x-intercepts, 1 x-intercept or zero real x intercepts. If the parabola only has 1 x-intercept (see middle of picture below), then the parabola is said to be tangent to the x-axis.

How to find the x-intercepts

Simply solve the quadratic equation by any of the following methods

• by factoring the quadratic equation
• using the quadratic formula
• completing the square
• or by factoring by grouping

How to find the y-intercept of a parabola

Since the y-intercept marks the point where x =0, all that you have to do is substitute 0 in for x in the parabola's equation.

Related Links:
• Parabola home
• Axis of Symmetry
• Parabola Grapher
• Focus and Directrix
• Standard and Vertex Form
• Vertex
• Real World Applications

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Table of contents

• top
• X Intercepts
• y Intercepts