Question

write the coordinates of the vertices after a translation 14 units left and 7 units down.

Explanation:

Step1: Find original coordinates

From the graph, original vertices: \( J(6, -3) \), \( K(6, 7) \), \( L(7, 7) \), \( M(7, -3) \) (assuming the grid and points: J is at (6, -3), K at (6,7), L at (7,7), M at (7,-3) after checking the grid).

Step2: Apply translation (left 14: subtract 14 from x; down 7: subtract 7 from y)

For \( J(6, -3) \):
New \( x = 6 - 14 = -8 \), New \( y = -3 - 7 = -10 \) → \( J'(-8, -10) \)

For \( K(6, 7) \):
New \( x = 6 - 14 = -8 \), New \( y = 7 - 7 = 0 \) → \( K'(-8, 0) \)

For \( L(7, 7) \):
New \( x = 7 - 14 = -7 \), New \( y = 7 - 7 = 0 \) → \( L'(-7, 0) \)

For \( M(7, -3) \):
New \( x = 7 - 14 = -7 \), New \( y = -3 - 7 = -10 \) → \( M'(-7, -10) \)

Answer:

\( J'(-8, -10) \), \( K'(-8, 0) \), \( L'(-7, 0) \), \( M'(-7, -10) \)