What is the axis y=-12x^2-29x+230 ?

The axis y=-12x^2-29x+230 is x=-29/24

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axis y=-12x^2-29x+230

axis

y = - 12 x^{2} - 29 x + 230

x = - \frac{29}{24}

Solution steps

y = - 12 x^{2} - 29 x + 230

Rewrite

y = - 12 x^{2} - 29 x + 230

in the standard form

4 (- \frac{1}{48}) (y - \frac{11881}{48}) = (x - (- \frac{29}{24}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{29}{24}, \frac{11881}{48}), p = - \frac{1}{48}

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 = - \frac{29}{24}

y = - \frac{63}{16} + \frac{1}{16} x^{2} - \frac{1}{8} x

y = x^{2} + 8 x - 5

y = 3 x^{2} - 5 x 7

y = 7 x^{2} - 10 x + 5

y = - \frac{1}{2} x^{2} - 4 x + 10