What is the axis y=3x^24 ?

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axis y=3x^24

axis

y = 3 x^{2} 4

x = 0

Solution steps

y = 3 x^{2} \cdot 4

Rewrite

y = 3 x^{2} \cdot 4

in the standard form:

4 \cdot \frac{1}{48} (y - 0) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 0), p = \frac{1}{48}

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 - 12

4 y^{2} - 48 x - 20 y = 71

x = - 5 y^{2}

y = - 3 x^{2} + 12 x - 8

(x - 3)^{2} = 8 (y - 5)