SOLUTION: Given a quadratic function g defined by g(x)=ax^2+bx+c , the solutions to the quadratic equation ax^2+bx+c=0 are x=−3.5±−4.5. Determine if possible the axis of symmetr

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Given a quadratic function g defined by g(x)=ax^2+bx+c , the solutions to the quadratic equation ax^2+bx+c=0 are x=−3.5±−4.5. Determine if possible the axis of symmetr      Log On


   

Question 995296: Given a quadratic function g defined by g(x)=ax^2+bx+c , the solutions to the quadratic equation ax^2+bx+c=0 are x=−3.5±−4.5.
Determine if possible the axis of symmetry of g. If you do not have enough information write DNE.
Thanks in advance!:)
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Axis of symmetry occurs at the exact middle of the roots.
%28-3.5-4.5%29%2F2
highlight%28-4=x%29, axis of symmetry

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given a quadratic function g defined by g(x)=ax^2+bx+c , the solutions to the quadratic equation ax^2+bx+c=0 are x=−3.5±−4.5.
Determine if possible the axis of symmetry of g. If you do not have enough information write DNE.
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Sketch those zeroes as -3.5-4.5 and -3.5+4.5 on the x-axis
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The zeroes are equidistant from the axis of symmetry.
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The axis of symmetry is the vertical line x = -3.5
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Cheers,
Stan H.
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