What is the axis y=-45x^2-27x+2 ?

The axis y=-45x^2-27x+2 is x=-3/10

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axis y=-45x^2-27x+2

axis

y = - 45 x^{2} - 27 x + 2

x = - \frac{3}{10}

Solution steps

y = - 45 x^{2} - 27 x + 2

Rewrite

y = - 45 x^{2} - 27 x + 2

in the standard form

4 (- \frac{1}{180}) (y - \frac{121}{20}) = (x - (- \frac{3}{10}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{3}{10}, \frac{121}{20}), p = - \frac{1}{180}

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{3}{10}

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

y = x^{2} + 6 x + 9

y = 2 x^{2} - 5 x - 6

y = x^{2} - x - 2

y = - 2 x^{2} - 3