What is the axis+3y^2=24x ?

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axis+3y^2=24x

axis

+ 3 y^{2} = 24 x

y = 0

Solution steps

3 y^{2} = 24 x

Rewrite

3 y^{2} = 24 x

in the standard form:

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

Therefore parabola properties are:

(h, k) = (0, 0), p = 2

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

y = - 2 x^{2} - 8 x - 3

y = - \frac{13}{11} (x + 3)^{2} + 1

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

y = \frac{x ^{2}}{6}

y^{2} - 6 y - 8 x + 17 = 0