Question

write the coordinates of the vertices after a translation 2 units right.
j(
k(
l(
m(

Explanation:

Step1: Find original coordinates

First, identify the original coordinates of each vertex from the graph:

• \( J(-10, -9) \) (since it's at x = -10, y = -9)
• \( K(-6, -9) \) (x = -6, y = -9)
• \( L(-4, -3) \) (x = -4, y = -3)
• \( M(-6, -3) \) (x = -6, y = -3)

Step2: Apply translation (2 units right)

A translation 2 units right means we add 2 to the x - coordinate of each vertex (the y - coordinate remains the same). The translation rule for a point \((x,y)\) is \((x + 2,y)\).

For \( J(-10,-9) \):
New x - coordinate: \(-10+2=-8\), y - coordinate remains - 9. So \( J'(-8,-9) \)

For \( K(-6,-9) \):
New x - coordinate: \(-6 + 2=-4\), y - coordinate remains - 9. So \( K'(-4,-9) \)

For \( L(-4,-3) \):
New x - coordinate: \(-4+2=-2\), y - coordinate remains - 3. So \( L'(-2,-3) \)

For \( M(-6,-3) \):
New x - coordinate: \(-6 + 2=-4\), y - coordinate remains - 3. So \( M'(-4,-3) \)

Answer:

\( J'(-8, -9) \)
\( K'(-4, -9) \)
\( L'(-2, -3) \)
\( M'(-4, -3) \)