Question

write the coordinates of the vertices after a reflection over the y-axis.
j(\square, \square)
k(\square, \square)
l(\square, \square)
m(\square, \square)

Explanation:

Step1: Find original coordinates

First, identify the original coordinates of each vertex. From the graph:

• \( J(-9, -6) \) (since it's at x=-9, y=-6)
• \( K(-9, 3) \) (x=-9, y=3)
• \( L(0, -2) \) (x=0, y=-2)
• \( M(0, -6) \) (x=0, y=-6)

Step2: Apply reflection over y-axis

The rule for reflection over the y-axis is \((x, y) \to (-x, y)\).

• For \( J(-9, -6) \): \( J' = (9, -6) \) (since -(-9)=9, y remains -6)
• For \( K(-9, 3) \): \( K' = (9, 3) \) ( -(-9)=9, y remains 3)
• For \( L(0, -2) \): \( L' = (0, -2) \) ( -0=0, y remains -2)
• For \( M(0, -6) \): \( M' = (0, -6) \) ( -0=0, y remains -6)

Answer:

\( J'(9, -6) \), \( K'(9, 3) \), \( L'(0, -2) \), \( M'(0, -6) \)