What is the axis x^2+y=0 ?

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axis x^2+y=0

axis

x^{2} + y = 0

x = 0

Solution steps

x^{2} + y = 0

Rewrite

x^{2} + y = 0

in the standard form:

4 (- \frac{1}{4}) (y - 0) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 0), p = - \frac{1}{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

y = 5 x (2 x + 4) - 3 x

y = 4 x^{2} - 6

y = x^{2} - 4 x 3

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

y = 8 x^{2} + 16 x + 3