You can put this solution on YOUR website! y = -4x^2 + 12x - 8
set the equation equal to 0 to get:
-4x^2 + 12x - 8 = 0
factor out a -1 to get:
(-1) * (4x^2 - 12x + 8) = 0
this allows the x^2 term to be positive which makes factoring a lot easier.
there are different methods to factor the quadratic equation.
the method of last resort is the quadratic formula that will allow you to factor any quadratic equation.
there are numerous references on how to factor a quadratic equation that can be of help to you there.
one of them can be found at the following link: http://www.purplemath.com/modules/factquad.htm
the factors for this particular equation are:
(-1) * (4x-8) * (x-1)
the roots of this equation are:
x = 2 and x = 1
a graph of this equation is shown below: