What is the axis x^2=3y ?

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axis x^2=3y

axis

x^{2} = 3 y

x = 0

Solution steps

x^{2} = 3 y

Rewrite

x^{2} = 3 y

in the standard form:

4 \cdot \frac{3}{4} (y - 0) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 0), p = \frac{3}{4}

Parabola is of the form

4 p (y - k) = (x - h)^{2}

and is symmetric around the

y

-axis

Axis of symmetry is a line parallel to the

y

-axis which intersects the vertex:

x = 0

9 y^{2} - 6 y - 9 - x = 0

y = x^{2} + 2 x - 3

y = x^{2} - 2 x 5

y = (x - 1) (3 x + 1)

y^{2} = 6 x