We have [tex]y=4x^2+6x+3[/tex], that corresponds to the form of parabola [tex]y=ax^2+bx+c[/tex]. The discriminant of a parabola is defined by formula [tex]D=b^2-4ac[/tex]. Inserting numbers into the formula we get that discriminant is [tex]D=6^2-4\cdot4\cdot3=36-48=\boxed{-12}[/tex].
Hope this helps.
