What is the axis y=18x-3/2 x^2 ?

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axis y=18x-3/2 x^2

axis

y = 18 x - \frac{3}{2} x^{2}

x = 6

Solution steps

y = 18 x - \frac{3}{2} x^{2}

Rewrite

y = 18 x - \frac{3}{2} x^{2}

in the standard form

4 (- \frac{1}{6}) (y - 54) = (x - 6)^{2}

Therefore parabola properties are:

(h, k) = (6, 54), p = - \frac{1}{6}

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 = 6

x = - \frac{1}{2} (y + 4)^{2} - 5

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

y = 3 (x - 1) (x + 2)

x^{2} + 8 x + 12

y = 2 (x + 3)^{2} + 4