What is the axis y=9x^2 ?

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axis y=9x^2

axis

y = 9 x^{2}

x = 0

Solution steps

y = 9 x^{2}

Rewrite

y = 9 x^{2}

in the standard form:

4 \cdot \frac{1}{36} (y - 0) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 0), p = \frac{1}{36}

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

x^{2} = 3 y

9 y^{2} - 6 y - 9 - x = 0

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

y = x^{2} - 2 x 5

y = (x - 1) (3 x + 1)