Question

write the coordinates of the vertices after a translation 3 units left.
t((□,□))
u((□,□))
v((□,□))
w((□,□))

Explanation:

Step1: Find original coordinates

From the graph, original coordinates: \( T(2, 4) \), \( U(7, 4) \), \( V(7, 7) \), \( W(2, 7) \).

Step2: Apply translation (left 3: subtract 3 from x - coordinate)

For \( T \): \( x = 2 - 3 = -1 \), \( y = 4 \) → \( T'(-1, 4) \)
For \( U \): \( x = 7 - 3 = 4 \), \( y = 4 \) → \( U'(4, 4) \)
For \( V \): \( x = 7 - 3 = 4 \), \( y = 7 \) → \( V'(4, 7) \)
For \( W \): \( x = 2 - 3 = -1 \), \( y = 7 \) → \( W'(-1, 7) \)

Answer:

\( T'(-1, 4) \)
\( U'(4, 4) \)
\( V'(4, 7) \)
\( W'(-1, 7) \)