Question

write the coordinates of the vertices after a translation 3 units left and 5 units down.
d(□, □)
e(□, □)
f(□, □)
g(□, □)

Explanation:

Step1: Find original coordinates

From the graph, original coordinates:

• \( D(1, -3) \) (since it's 1 unit right on x, 3 units down on y)
• \( E(1, 4) \) (1 unit right, 4 units up)
• \( F(8, 4) \) (8 units right, 4 units up)
• \( G(8, -3) \) (8 units right, 3 units down)

Step2: Apply translation (left 3: \( x - 3 \); down 5: \( y - 5 \))

• For \( D \): \( x = 1 - 3 = -2 \), \( y = -3 - 5 = -8 \) → \( D'(-2, -8) \)
• For \( E \): \( x = 1 - 3 = -2 \), \( y = 4 - 5 = -1 \) → \( E'(-2, -1) \)
• For \( F \): \( x = 8 - 3 = 5 \), \( y = 4 - 5 = -1 \) → \( F'(5, -1) \)
• For \( G \): \( x = 8 - 3 = 5 \), \( y = -3 - 5 = -8 \) → \( G'(5, -8) \)

Answer:

\( D'(-2, -8) \), \( E'(-2, -1) \), \( F'(5, -1) \), \( G'(5, -8) \)