What is the axis x^2=8y ?

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axis x^2=8y

axis

x^{2} = 8 y

x = 0

Solution steps

x^{2} = 8 y

Rewrite

x^{2} = 8 y

in the standard form:

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

Therefore parabola properties are:

(h, k) = (0, 0), p = 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 = x^{2} + 4 x - 45

y = (x - 3)^{2} - 4

(x + 6)^{2} = 12 (y + 1)

y = x^{2} - 6 x - 3

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