No, but any parabola can be transformed into the form y = x^2.
Yes, a parabola always has a vertex. However, it may not always have roots. The roots of a parabola are the x-values where the parabola intersects the x-axis. It is possible for a parabola to have two, one, or no roots depending on the discriminant of the quadratic equation.
An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.
Nope. False.
No. It can also be a circle, ellipse or hyperbola.
y=x^2
upward
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It is the bisector of any 2 parallel chords drawn to the parabola. It is always parallel to the axis of the parabola.
Yes, a parabola always has a vertex. However, it may not always have roots. The roots of a parabola are the x-values where the parabola intersects the x-axis. It is possible for a parabola to have two, one, or no roots depending on the discriminant of the quadratic equation.
Yes, it is.
If you're looking to factor it, you can do it like so: d2ydx2 - yx2 = d3yx2 - yx2 = yx2(d3 - 1)
An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.
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.
Nope. False.
No. It can also be a circle, ellipse or hyperbola.
y=x^2