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No, but any parabola can be transformed into the form y = x^2.

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The parabola for the function will point in which direction yx2 3x-4?

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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.


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)


Is a parabola always a function?

Yes, it is.


How can solve this question D2ydx2 -Y X2?

If you're looking to factor it, you can do it like so: d2ydx2 - yx2 = d3yx2 - yx2 = yx2(d3 - 1)


How do you create an equation for a parabola?

An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.


Why is the domain of a parabola all real numbers?

The domain of a parabola is always all real numbers because the domain represents the possible x values. The x values are shown on the horizontal axis or x axis. Because, in a parabola, the 2 sides of the parabola go infinitely in a positive or negative direction, there is always a y value for any x value that u plug in to the equation.


Is a graph of a quadratic function always a parabola?

No. It can also be a circle, ellipse or hyperbola.


A parabola always has at least one and at most two zeros?

Nope. False.


Does a parabola always have 2 x intercepts?

No, if the vertex of the parabola is (0, 0) it will only have one x intercept. The parabola might have zero x intercepts as well. For example: Y= x^2 + 1 would never touch the x line.