What is the standard form of the equation for a parabola?
See the explanation section.
The term "standard form" is perhaps overused in mathematics.
The standard form for a quadratics function (as a polynomial function) is
The standard for for the equation of a parabola (also called the vertex form) is like the standard form for other conic sections.
For a parabola with vertex
(that is, it opens up or down)
the standard form is
(If the parabola opens sideways, it includes the points