Question

10 translate abc using the coordinate rule (x,y) -> (x - 2, y + 4) click to select point c point b point a

Explanation:

Step1: Find coordinates of \(A\), \(B\), \(C\)

From the graph, \(A(-5,1)\), \(B(0,1)\), \(C(-3,4)\)

Step2: Apply translation rule \((x,y)\to(x - 2,y + 4)\)

For point \(A\):
\(x=-5,y = 1\)
\(x'=-5-2=-7\), \(y'=1 + 4=5\)
\(A'(-7,5)\)
For point \(B\):
\(x = 0,y=1\)
\(x'=0-2=-2\), \(y'=1 + 4=5\)
\(B'(-2,5)\)
For point \(C\):
\(x=-3,y = 4\)
\(x'=-3-2=-5\), \(y'=4 + 4=8\)
\(C'(-5,8)\)

Answer:

\(A'(-7,5)\), \(B'(-2,5)\), \(C'(-5,8)\)