What is the axis y^2=3x ?

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axis y^2=3x

axis

y^{2} = 3 x

y = 0

Solution steps

y^{2} = 3 x

Rewrite

y^{2} = 3 x

in the standard form:

4 \cdot \frac{3}{4} (x - 0) = (y - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 0), p = \frac{3}{4}

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 = (X - 3)^{2}

x^{2} = 6 y

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

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

y = (x - 6)^{2} - 9