Question 994556
{{{y=abs(x-4)+3 }}}


 make a table:

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

{{{4}}}|{{{3}}}...{{{y=abs(x-4)+3 }}}=>{{{y=abs(4-4)+3 }}}=>{{{y=3 }}}
{{{-1}}}|{{{8}}}...{{{y=abs(-1-4)+3 }}}=>{{{y=abs(-5)+3 }}}=>{{{y=5+3=8}}}
{{{5}}}|{{{4}}}...{{{y=abs(5-4)+3 }}}=> {{{y=1+3 }}}=>{{{y=4 }}}
{{{-5}}}|{{{12}}}...{{{y=abs(-5-4)+3 }}}=>{{{y=9+3 }}}=>{{{y=12 }}}
{{{-2}}}|{{{9}}}...{{{y=-abs(-2-4)+3 }}}=>{{{y=6+3 }}}=>{{{y=9 }}}

graph it:

{{{drawing( 600, 600, -10, 10, -10, 10,
circle(4,3,.12),locate(4,3,p(4,3)),
circle(5,4,.12),locate(5,4,p(5,4)),
circle(-5,12,.12),locate(-5,12,p(-5,12)),
circle(-1,8,.12),locate(-1,8,p(-1,8)),
circle(-2,9,.12),locate(-2,9,p(-2,9)),
 graph( 600, 600, -10, 10, -10, 10, abs(x-4)+3)) }}}