What is the axis y=2000x-5x^2 ?

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axis y=2000x-5x^2

axis

y = 2000 x - 5 x^{2}

x = 200

Solution steps

y = 2000 x - 5 x^{2}

Rewrite

y = 2000 x - 5 x^{2}

in the standard form

4 (- \frac{1}{20}) (y - 200000) = (x - 200)^{2}

Therefore parabola properties are:

(h, k) = (200, 200000), p = - \frac{1}{20}

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 = 200

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

y^{2} + 4 x = 0

y = - 9 x^{2} - 7

y = 3 x^{2} - 35 x

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