Question

translation 3
triangle abc is translated using the algebriac rule:
(x + 4, y + 5).
enter the new coordinates in the table and press submit to check your work.
point \t(x,y)
a \t
b \t
c \t
submit

Explanation:

Step1: Find coordinates of A, B, C

From the graph, \( A(-2, 1) \), \( B(-6, -3) \), \( C(1, -4) \).

Step2: Apply translation rule \((x + 4, y + 5)\) to A

For \( A(-2, 1) \): \( x' = -2 + 4 = 2 \), \( y' = 1 + 5 = 6 \). So \( A'(2, 6) \).

Step3: Apply translation rule to B

For \( B(-6, -3) \): \( x' = -6 + 4 = -2 \), \( y' = -3 + 5 = 2 \). So \( B'(-2, 2) \).

Step4: Apply translation rule to C

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

Answer:

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