Question

determine the coordinates for each of the following *
translation: 2 units right and 3 units up
(2,-4) (-1,0) (-4,-2) (2,0) (0,-1) (0,-4) (-4,2) (4,0) (0,1) (-1
m
j
e

Explanation:

Step1: Find original coordinates

Assume \( M(-1,0)\), \(J(-4,-2)\), \(E(-4,-4)\) (by observing the graph).

Step2: Apply translation rule

The translation rule is \((x,y)\to(x + 2,y+3)\).
For \(M(-1,0)\):
\(x=-1,y = 0\)
\(x+2=-1 + 2=1\), \(y + 3=0+3=3\)
For \(J(-4,-2)\):
\(x=-4,y=-2\)
\(x + 2=-4+2=-2\), \(y+3=-2 + 3=1\)
For \(E(-4,-4)\):
\(x=-4,y=-4\)
\(x+2=-4 + 2=-2\), \(y+3=-4+3=-1\)

Answer:

\(M'(1,3)\), \(J'(-2,1)\), \(E'(-2,-1)\)