Q:

The axis of symmetry for a quadratic equation can be found using the formula x=-b/2a where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane. What is the equation when solved for a? a=b/2x a=-b/2x a=1/2bx a=-1/2bx

Accepted Solution

A:
Answer:[tex]a=\frac{-b}{2x}[/tex]or[tex]a=\frac{-1}{2}\frac{b}{x}[/tex](Disclaimer: I can't tell what your choices really say because I'm not sure what is the denominator.  Example does a=-b/2x mean a=-b/(2x) or a=-b/2 x?Step-by-step explanation:[tex]x=\frac{-b}{2a}[/tex]First I'm going to write [tex]x[/tex] as a fraction because I think it might be more clear what to do then.[tex]\frac{x}{1}=\frac{-b}{2a}[/tex]I'm going to cross-multiply now:[tex](2a)(x)=(-b)(1)[/tex][tex]2ax=-b[/tex]Divide both sides by [tex]2x[/tex]:[tex]a=\frac{-b}{2x}[/tex]or[tex]a=\frac{-1}{2}\frac{b}{x}[/tex]