What is the axis y=-2x^2-12x-23 ?

The axis y=-2x^2-12x-23 is x=-3

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axis y=-2x^2-12x-23

axis

y = - 2 x^{2} - 12 x - 23

x = - 3

Solution steps

y = - 2 x^{2} - 12 x - 23

Rewrite

y = - 2 x^{2} - 12 x - 23

in the standard form

4 (- \frac{1}{8}) (y - (- 5)) = (x - (- 3))^{2}

Therefore parabola properties are:

(h, k) = (- 3, - 5), p = - \frac{1}{8}

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 = - 3

y = x^{2} + 5 x - 84

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

(x - 4)^{2} = 20 (y + 5)

y = (x + 9) (x + 8)

y^{2} + 12 x - 2 y - 11 = 0