The graph of the equation $y =ax^2 + bx + c$, where $a$, $b$, and $c$ are constants, is a parabola with axis of symmetry $x = -3.$ Find $\frac{b}{a}$.
If the axis of symmetry is x =- 3, then the x coordinate of th vertex is -3 = -b/[;2a]
So...this implies that
-b / [2a] = -3
b /[2a] =3 multiply both sides by 2
b / a = 6