Question

use the graph and the translation $(x,y)\to(x + 5,y + 3)$. enter the image of each vertex as an ordered pair. $a$ $b$ $c$

Explanation:

Step1: Find the coordinates of original vertices

From the graph, \(A(-9,1)\), \(B(-1,1)\), \(C(-6,-1)\)

Step2: Apply the translation rule \((x,y)\to(x + 5,y+3)\)

For point \(A\):
\(x=-9,y = 1\)
\(x'=-9 + 5=-4,y'=1+3 = 4\)
So \(A'(-4,4)\)
For point \(B\):
\(x=-1,y = 1\)
\(x'=-1+5 = 4,y'=1 + 3=4\)
So \(B'(4,4)\)
For point \(C\):
\(x=-6,y=-1\)
\(x'=-6+5=-1,y'=-1 + 3=2\)
So \(C'(-1,2)\)

Answer:

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