Question

use the graph and the translation $(x,y)\to(x + 2,y + 1)$ to answer parts a and b below.
a. enter the image of each vertex as an ordered pair.
$a\to a\square$
$b\to b\square$
$c\to c\square$
(type ordered pairs.)

Explanation:

Step1: Find the coordinates of original vertices

From the graph, we can see that \(A(-8,4)\), \(B(-2,3)\), \(C(-1,1)\)

Step2: Apply the translation rule \((x,y)\to(x + 2,y+1)\)

For point \(A\):
\(x=-8,y = 4\)
\(x'=-8 + 2=-6,y'=4 + 1=5\)
So \(A'(-6,5)\)
For point \(B\):
\(x=-2,y = 3\)
\(x'=-2+2 = 0,y'=3 + 1=4\)
So \(B'(0,4)\)
For point \(C\):
\(x=-1,y = 1\)
\(x'=-1+2=1,y'=1 + 1=2\)
So \(C'(1,2)\)

Answer:

\(A'(-6,5)\)
\(B'(0,4)\)
\(C'(1,2)\)