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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 \(\frac{b}{a}\).

Guest 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

 

 

cool cool cool

CPhill  Jan 13, 2018

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