Question 636266

{{{y=x^2-5x+6}}}...factor it out..replace {{{-5x}}} with {{{-2x-3x}}}

{{{y=x^2-2x-3x+6}}}

{{{y=(x^2-2x)-(3x-6)}}}

{{{y=x(x-2)-3(x-2)}}}

{{{y=(x-3)(x-2)}}}

{{{x-intercepts}}}: set {{{y}}} to zero  and solve for {{{x}}} 


{{{0=(x-3)(x-2)}}}

{{{0=(x-3)}}}.......->.......{{{x=3}}}

{{{0=(x-2)}}}.......->.......{{{x=2}}}


and {{{y-intercepts}}}: set the {{{x}}} to zero  and solve for {{{y}}} 


{{{y=x^2-5x+6}}}...->...{{{y=0^2-5*0+6}}}.....->...{{{y=6}}}


 {{{ graph( 600, 600, -10, 10, -10, 10, x^2-2x-3x+6) }}}