What is the axis y=-20x^2+20000x-1800000 ?

The axis y=-20x^2+20000x-1800000 is x=500

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axis y=-20x^2+20000x-1800000

axis

y = - 20 x^{2} + 20000 x - 1800000

x = 500

Solution steps

y = - 20 x^{2} + 20000 x - 1800000

Rewrite

y = - 20 x^{2} + 20000 x - 1800000

in the standard form

4 (- \frac{1}{80}) (y - 3200000) = (x - 500)^{2}

Therefore parabola properties are:

(h, k) = (500, 3200000), p = - \frac{1}{80}

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 = 500

(x + 4)^{2} = - 6 (y - 3)

y = x^{2} - 4 x + 7

y = 2 x^{2} - 6 x + 4

y = (x - 5)^{2} - 1

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

What is the axis y=-20x^2+20000x-1800000 ?
The axis y=-20x^2+20000x-1800000 is x=500