Question

1. translation: 8 units right and 7 units up
2. translation: 1 unit right and 3 units up

n(-4, -3), m(-3, -1), l(-3, -2)

1. translation: (x, y) → (x + 5, y + 4)

j(-5, -2), i(-4, 0), h(-2, -1), g(-1, -3)

1. translation: (x, y) → (x + 7, y + 5)

v(-5, -4), w(-4, -1), x(-2, -5)

Explanation:

Problem 3:

Step1: Identify original points (assume D, E, C coordinates)

Let’s assume original coordinates: Let’s say \( D(-6, -2) \), \( E(-5, -2) \), \( C(-5, -5) \) (from graph estimation).

Step2: Apply translation (8 right, 7 up)

For a point \((x, y)\), translation 8 right: \( x + 8 \), 7 up: \( y + 7 \).

• \( D'(-6 + 8, -2 + 7) = (2, 5) \)
• \( E'(-5 + 8, -2 + 7) = (3, 5) \)
• \( C'(-5 + 8, -5 + 7) = (3, 2) \)

Problem 4:

Step1: List original points

\( N(-4, -3) \), \( M(-3, -1) \), \( L(-3, -2) \)

Step2: Apply translation (1 right, 3 up)

For \((x, y)\), \( x + 1 \), \( y + 3 \).

• \( N'(-4 + 1, -3 + 3) = (-3, 0) \)
• \( M'(-3 + 1, -1 + 3) = (-2, 2) \)
• \( L'(-3 + 1, -2 + 3) = (-2, 1) \)

Problem 5:

Step1: Apply translation \((x, y) \to (x + 5, y + 4)\) to each point

• For \( J(-5, -2) \): \( (-5 + 5, -2 + 4) = (0, 2) \)
• For \( I(-4, 0) \): \( (-4 + 5, 0 + 4) = (1, 4) \)
• For \( H(-2, -1) \): \( (-2 + 5, -1 + 4) = (3, 3) \)
• For \( G(-1, -3) \): \( (-1 + 5, -3 + 4) = (4, 1) \)

Problem 6:

Answer:

s (Final Coordinates):

• Problem 3: \( D'(2, 5) \), \( E'(3, 5) \), \( C'(3, 2) \) (or as per exact original graph[SSE onError error]