Yes, it is.
A parabola
It is a square root mapping. This is not a function since it is a one-to-many mapping.
A parabola is a graph of a 2nd degree polynomial function. Two graph a parabola, you must factor the polynomial equation and solve for the roots and the vertex. If factoring doesn't work, use the quadratic equation.
A parabola is NOT a point, it is the whole curve.
yes.
No. It can also be a circle, ellipse or hyperbola.
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)
The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.
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.
It is the bisector of any 2 parallel chords drawn to the parabola. It is always parallel to the axis of the parabola.
A 'Parabola'
No, but any parabola can be transformed into the form y = x^2.
Y = X2 ===== The graph of this parabola is crossed only at a point and once by a vertical line, so it is a function. Passes the vertical line test.
The parabola
A parabola
It is a function because for every point on the horizontal axis, the parabola identified one and only one point in the vertical direction.
It is a square root mapping. This is not a function since it is a one-to-many mapping.