SOLUTION: In the coordinate plane, the point X(1, 0) is translated to the point X'(-3, 1). Under the same translation, the points Y(5, -2) and Z(4, 4) are translated to Y' and Z', respective

Algebra ->  Coordinate-system -> SOLUTION: In the coordinate plane, the point X(1, 0) is translated to the point X'(-3, 1). Under the same translation, the points Y(5, -2) and Z(4, 4) are translated to Y' and Z', respective      Log On


   



Question 1207276: In the coordinate plane, the point X(1, 0) is translated to the point X'(-3, 1). Under the same translation, the points Y(5, -2) and Z(4, 4) are translated to Y' and Z', respectively. What are the coordinates of Y' and Z'?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

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

the translation vector is
Δx+=-3-1=-4
and
Δy+=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%2B1)=(1,-1)
and
Z'(4-4,4%2B1)=(0,5)