Question

shift the graph using the rule: (x + 3, y - 1)

Explanation:

Step1: Find original coordinates

From the graph, \( A(2, 6) \), \( B(2, 2) \), \( C(5, 2) \).

Step2: Apply translation rule \((x + 3, y - 1)\)

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

Answer:

Translated points: \( A'(5, 5) \), \( B'(5, 1) \), \( C'(8, 1) \) (Plot these points to see the shifted graph.)