What is the axis y=-6x^2+600x-5726 ?

The axis y=-6x^2+600x-5726 is x=50

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axis y=-6x^2+600x-5726

axis

y = - 6 x^{2} + 600 x - 5726

x = 50

Solution steps

y = - 6 x^{2} + 600 x - 5726

Rewrite

y = - 6 x^{2} + 600 x - 5726

in the standard form

4 (- \frac{1}{24}) (y - 9274) = (x - 50)^{2}

Therefore parabola properties are:

(h, k) = (50, 9274), p = - \frac{1}{24}

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 = 50

y > 2 x^{2} + 5

(x + 4)^{2} = - 8 (y - 3)

y = (x + 5)^{2} + 3

y = 3 x^{2} + 4 x - 5

x = (2 y)^{2}