Question 764755
the quadratic equation is {{{y=ax^2+bx+c}}}

if leading coefficient is {{{4}}}, we have {{{a=-4}}}; so, the quadratic equation is {{{y=4x^2+bx+c}}}

if roots are {{{x[1]=3}}} and {{{x[2]=-4}}}, we can use zero product rule to find equation: 

{{{y=(x-x[1])(x-x[2])}}}...plug in given values for roots

{{{y=(x-3)(x-(-4))}}}....multiply

{{{y=x^2+4x-3x-12}}}.......now multiply each coefficient by {{{4}}} since given that leading coefficient is {{{4}}}

{{{y=4x^2+4x-48}}}

check it on a graph:

{{{ graph( 600, 600, -10, 10, -50, 10,4x^2+4x-48) }}}