Question

write the coordinates of the vertices after a translation 8 units left and 1 unit down.
j((□,□))
k((□,□))
l((□,□))
m((□,□))

Explanation:

Step1: Find original coordinates

From the graph, original coordinates:

• \( J(2, 0) \)
• \( K(2, 1) \)
• \( L(8, 1) \)
• \( M(8, 0) \)

Step2: Apply translation (left 8, down 1)

Translation rule: \((x, y) \to (x - 8, y - 1)\)

• For \( J \): \( (2 - 8, 0 - 1) = (-6, -1) \)
• For \( K \): \( (2 - 8, 1 - 1) = (-6, 0) \)
• For \( L \): \( (8 - 8, 1 - 1) = (0, 0) \)
• For \( M \): \( (8 - 8, 0 - 1) = (0, -1) \)

Answer:

\( J'(-6, -1) \), \( K'(-6, 0) \), \( L'(0, 0) \), \( M'(0, -1) \)