What is the axis y^2=-24x ?

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axis y^2=-24x

axis

y^{2} = - 24 x

y = 0

Solution steps

y^{2} = - 24 x

Rewrite

y^{2} = - 24 x

in the standard form:

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

Therefore parabola properties are:

(h, k) = (0, 0), p = - 6

Parabola is of the form

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

and is symmetric around the

x

-axis

Axis of symmetry is a line parallel to the

x

-axis which intersects the vertex:

y = 0

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

- 4 y^{2} - 12 y + 1 = 3 x - 5

(y - 2)^{2} = 8 (x - 4)

y = (x + 5) (x + 4)

y = 8 x^{2} + 7 x - 1