Question 1176892

you are given points:

x-intercepts:  ({{{-6}}},{{{0}}}) and  ({{{5}}},{{{0}}}) 
and point P ({{{-1}}},{{{6}}})


{{{y=a(x-x[1])(x-x[2])}}}........ use x-intercepts

{{{y=a(x-(-6))(x-5)}}}

{{{y=a(x+6)(x-5)}}}......use  point P to calculate a

{{{6=a(-1+6)(-1-5)}}}

{{{6=a(5)(-6)}}}

{{{a=6/(5)(-6)}}}

{{{a=-1/5 }}}


{{{y=-(1/5)(x+6)(x-5)}}} -> your quadratic in factored form


{{{y=-x^2/5 - x/5 + 6 }}}-> standard form