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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 $\frac{b}{a}$.

Jun 17, 2019

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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

Jun 17, 2019