What is the axis x^2=36y ?

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axis x^2=36y

axis

x^{2} = 36 y

x = 0

Solution steps

x^{2} = 36 y

Rewrite

x^{2} = 36 y

in the standard form:

4 \cdot 9 (y - 0) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 0), p = 9

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 = - 0.0000848 x^{2} - 0.006005 x + 1.004

y = 2 x^{2} - 5 x + 1

y = 2 x^{2} - 5 x + 3

y = + x^{2} + 4 x + 7

y^{2} = 40 x