Yes, it is.
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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.