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 $\frac{b}{a}$.

Lightning  Jun 16, 2018

How are you doing today, Lightning?


You may know that you can determine the equation of the axis of symmetry of any parabola by knowing that \(x=\frac{-b}{2a}\) . In this case, the axis of symmetry is already given: \(x=-3\) .


Since \(x=-3\) and \(x=\frac{-b}{2a}\)\(\frac{-b}{2a}=-3\) . The only task left is to solve for b/a .


\(\frac{-b}{2a}=-3\) Multiply by 2 on both sides. 
\(\frac{-b}{a}=-6\) We are almost there! Multiply by -1 to inverse the sign.
\(\frac{b}{a}=6\) There you go!
TheXSquaredFactor  Jun 17, 2018

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