SOLUTION: 3y2 = 24x (three y square = 24x) please help me know What is the vertex, focus, directrix and axis of symmetry of this equation of a PARABOLA?

Question 1059942: 3y2 = 24x (three y square = 24x) please help me know What is the vertex, focus, directrix and axis of symmetry of this equation of a PARABOLA?

Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
3y^2=24x

That is the form which might be arranged if deriving the equation from parabola of known focus and known directrix. Vertex would be (0,0). Axis of Symmetry would be .

You want one further adjustment to YOUR equation.

--------conforming to the format .

The meaning of p is the distance of the vertex from either directrix or focus. Notice here that p is a POSITIVE value.

-
This means the focus is (0,2) and the directrix is .

See here for helpful lessons on using Distance Formula for the Definition of Parabola to derive equation:

Use definition to derive parabola equations.

Same idea, different orientation
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