What is the axis x^2=6y ?

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axis x^2=6y

axis

x^{2} = 6 y

x = 0

Solution steps

x^{2} = 6 y

Rewrite

x^{2} = 6 y

in the standard form:

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

Therefore parabola properties are:

(h, k) = (0, 0), p = \frac{3}{2}

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

y = - 5 (x + 4)^{2} + 2

x = 3 y^{2} - 30 y + 77

y = (x - 6)^{2} - 9

y^{2} - 12 x + 8 y + 88 = 0

y = + x^{2} - 7