Question 1207276


In the coordinate plane, the point X({{{1}}},{{{ 0}}}) is translated to the point X'({{{-3}}}, {{{1}}}). 
  

 the translation vector is 

Δ{{{x =-3-1=-4}}}
and 
Δ{{{y =1-0 =1}}}

This means that every point is translated {{{4}}} units to the left (negative x-direction) and {{{1}}} units up (positive y-direction).

if under the same translation the points Y({{{5}}}, {{{-2}}}) and Z({{{4}}},{{{ 4}}}) are translated to Y' and Z', we have
 

Y' ({{{5-4}}},{{{-2+1}}})=({{{1}}},{{{-1}}})

and 

Z'({{{4-4}}},{{{4+1}}})=({{{0}}},{{{5}}})