x^2 = 4py is the standard equation of a parabola with focuc (0,p) and directrix y=-p.?

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x^2 = 4py is the standard equation of a parabola with focuc (0,p) and directrix y=-p.?

true or false

2007-01-02 02:18:13 · 2 answers · asked by wicked 1 in Science & Mathematics ➔ Mathematics

2 answers

TRUE!

and its "focus" not focuc!!

2007-01-02 02:22:24 · answer #1 · answered by Som™ 6 · 0⤊ 0⤋

Different authors mean different things by the term "Standard equation of a parabola."

The equation x^2 = 4py is indeed AN equation of a parabola with focus (0, p) and directrix y = -p. It is also the standard equation according to some authors (for example, James Stewart).

2007-01-02 10:58:53 · answer #2 · answered by Anonymous · 0⤊ 1⤋