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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 \$\fr

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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 $$\frac{b}{a}$$.

Jan 13, 2018

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If the axis of symmetry is x  = -3, then  - 3 is the x coordinate of the vertex

And....the x coordinate of the vertex is given by    -b / (2a)

So we have that

-b / (2a)  =  -3

b / (2a)  = 3       multiply both sides by 2

b / a   =   6

Jan 13, 2018