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Picture of Parabola InterceptsParabola Intercepts

x-intercept and y-intercept of a Parabola

Parabolas can have both x-intercepts and 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
Picture of Y intercept of Parabola Graph
x-intercepts
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.
Picture of the x-intercepts of a parabola
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.
Image of x intercept graphs.
How to find the x-intercepts
Simply solve the quadratic equation by any of the following methods
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.
Interactive Demonstration of the intercepts
Explore the relationship between the x and y intercepts of a parabola and its graph by changing the values of a,b and c of the parabola plotter below

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