Question

Question was provided via image upload.

Explanation:

Step1: Find coordinates of A, B, C

From the graph, let's assume the coordinates:

• \( A = (-5, 7) \) (since it's at x=-5, y=7)
• \( B = (-3, 10) \) (x=-3, y=10)
• \( C = (-1, 4) \) (x=-1, y=4)

Step2: Apply translation rule \((x - 4, y - 3)\) to A

For \( A(-5, 7) \):
\( x' = -5 - 4 = -9 \)
\( y' = 7 - 3 = 4 \)
So \( A' = (-9, 4) \)

Step3: Apply translation rule to B

For \( B(-3, 10) \):
\( x' = -3 - 4 = -7 \)
\( y' = 10 - 3 = 7 \)
So \( B' = (-7, 7) \)

Step4: Apply translation rule to C

For \( C(-1, 4) \):
\( x' = -1 - 4 = -5 \)
\( y' = 4 - 3 = 1 \)
So \( C' = (-5, 1) \)

Answer:

\( A' = (-9, 4) \)
\( B' = (-7, 7) \)
\( C' = (-5, 1) \)