Question 940349
to solve {{{y=x^2 +6x+8}}} by graphing, make a table, choose several values for {{{x}}}, find {{{y}}}, plot all points from a table and draw a line through:

{{{x}}}|{{{y}}}

{{{0}}}|{{{8}}} ....{{{y=0^2 +6*0+8=8}}}

{{{-10}}}|{{{48}}} ....{{{y=(-10)^2 +6*(-10)+8=100-60+8=48}}}

{{{-5}}}|{{{3}}} ....{{{y=(-5)^2 +6*(-5)+8=25-30+8=3}}}

{{{-4}}}|{{{0}}} ....{{{y=(-4)^2 +6*(-4)+8=16-24+8=24-24=0}}}

{{{-3}}}|{{{-1}}} ....{{{y=(-3)^2 +6*(-3)+8=9-18+8=17-18=-1}}}

{{{-1}}}|{{{3}}} ....{{{y=(-1)^2 +6*(-1)+8=1-6+8=9-6=3}}}

{{{1}}}|{{{15}}} ....{{{y=(1)^2 +6*(1)+8=1+6+8=15}}}

{{{3}}}|{{{35}}} ....{{{y=(3)^2 +6*(3)+8=9+18+8=35}}}

{{{4}}}|{{{48}}} ....{{{y=(4)^2 +6*(4)+8=16+24+8=48}}}

plot these points and draw a line through:


{{{drawing( 600, 600, -15, 15, -15, 55,
circle(0,8,.2),circle(-4,0,.2),circle(-3,-1,.2),circle(-1,3,.2),
circle(1,15,.2),circle(3,35,.2),circle(4,48,.2),circle(-10,48,.2),circle(-5,3,.2),
 graph( 600, 600, -15, 15, -15, 55, x^2 +6x+8)) }}}