Question

write the coordinates of the vertices after a reflection over the y-axis.

Explanation:

Step1: Find original coordinates

From the graph, we identify the original coordinates:

• \( F(-5, 1) \)
• \( G(-1, 1) \)
• \( H(-9, -3) \)

Step2: Apply reflection over y - axis

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

• For \( F(-5, 1) \):

Applying the rule, \( x=-5\), so \(-x = 5\). The new coordinate is \( F'(5, 1) \).

• For \( G(-1, 1) \):

Applying the rule, \( x = - 1\), so \(-x=1\). The new coordinate is \( G'(1, 1) \).

• For \( H(-9, -3) \):

Applying the rule, \( x=-9\), so \(-x = 9\). The new coordinate is \( H'(9, -3) \).

Answer:

\( F(5, 1) \), \( G(1, 1) \), \( H(9, -3) \)