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In analytical geometry, the roots of a parabola are the x-values (if any) for which y = 0.

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Q: What is the root of a parabola?
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Related questions

What is the square root of a parabola?

A parabola is a 2-dimensional shape. A square root is a function whose arguments are numbers. The question does not make sense.


What is a parabola that opens to the right called?

It is a square root mapping. This is not a function since it is a one-to-many mapping.


Does a parabola always have roots and a vertex?

An x2 parabola will always have one vertex, but depending on the discriminant of the function (b2-4ac) the parabola will either have 2 roots (it crosses the x-axis twice), 1 repeating root (the parabola meets the x-axis at a single point), or no real roots (the parabola doesn't meet the x-axis at all)


How do you find the endpoints of a parabola when you have the function of the line?

A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.


Can Polynomials with the same roots can have different graphs.?

If you only look at the value of the roots and not their multiplicity then the answer is yes.The straight line y = x - 1 and the parabola y = (x - 1)^2 have the same root: x = 1. But the graphs are obviously different. All polynomials of the form y = (x - 1)^n will have x = 1 as the only root but they will have different shapes. The reason to this is that in the case of the straight line it is a root of multiplicity 1, in the case of a parabola it is a root of multiplicity 2 and in the case of y = (x - 1)^n it is a root of multiplicity n.


Is a parabola the same as a parabolic curve?

No. If you tilt a parabola, you will still have a parabolic curve but it will no longer be a parabola.


Parabola is the point at which the parabola is at its lowest or highest point?

A parabola is NOT a point, it is the whole curve.


Why does every number has two square root?

You mean, (+/-) sqrt(16) = 4 because - 42 = 16 and + 42 = 16 This graph would be a parabola.


The maximum or minimum of a parabola depending on whether the parabola opens up or down?

A parabola opening up has a minimum, while a parabola opening down has a maximum.


What is the parabola effect?

what are the effects of the sign a and n to the parabola


Can there be multiple y-interecepts?

Yes. think of a parabola that curves around the y-axis. an equation like x = square root of (y2 - 9) simply switch the x's and y's in the equation and your parabola opens up around the y-axis and the x-axis respectively


What is the diameter of a parabola?

It is the bisector of any 2 parallel chords drawn to the parabola. It is always parallel to the axis of the parabola.