Question 1134484
to graph this first: 

{{{f(x)= x^2-4x+5}}} and then show the values on the table. 

{{{x}}}|{{{ -3}}} |{{{ -2}}} | {{{-1 }}}| {{{0}}} | {{{1}}} | {{{2}}} | {{{3}}}
 
{{{f(x)}}}| | | | | | | 

if {{{ x=-3}}}
{{{f(-3)= (-3)^2-4(-3)+5=9+12+5=26}}}

if {{{ x=-2}}}
{{{f(-2)= (-2)^2-4(-2)+5=4+8+5=17}}}

if {{{ x=-1}}}
{{{f(-1)= (-1)^2-4(-1)+5=1+4+5=10}}}

if {{{ x=0}}}
{{{f(0)= (0)^2-4(0)+5=5}}}

if {{{ x=1}}}
{{{f(1)= (1)^2-4(1)+5=1-4+5=2}}}

if {{{ x=2}}}
{{{f(2)= (2)^2-4(2)+5=4-8+5=1}}}

if {{{ x=3}}}
{{{f(3)= (3)^2-4(3)+5=9-12+5=2}}}


=> your table is

{{{x}}}|{{{ -3}}} |{{{ -2}}} | {{{-1 }}}| {{{0}}} | {{{1}}} | {{{2}}} | {{{3}}}
 
{{{f(x)}}}|{{{26}}} |{{{17}}} | {{{10}}}|{{{5}}} |{{{2}}} |{{{1}}} |{{{ 2}}}


plot all points and draw a parabola through:


{{{drawing( 600, 600, -10, 10, -10, 30, 

circle(-3,26,.13),circle(-2,17,.13),circle(-1,10,.13),circle(0,5,.13),
circle(1,2,.13),circle(2,1,.13),circle(3,2,.13),
locate(-3,26,p(-3,26)),locate(-2,17,p(-2,17)),locate(-1,10,p(-1,10)),

locate(0,5,p(0,5)),locate(1,2,p(1,2)),locate(2,1,p(2,1)),locate(3,2,p(3,2)),
 graph( 600, 600, -10, 10, -10, 30, x^2-4x+5)) }}}