Answer:
The coordinates of its image are (-4, -3), (-7, -3), (-5, -5), (-2, -5)
Step-by-step explanation:
- If the point (x, y) translated k units down, then its image is (x, y - k)
- If the point (x, y) reflected over the y-axis, then its image is (-x, y)
Let us solve the question
∵ Parallelogram FGHJ has vertices at F (4, 4), G (7, 4), H (5, 2), J (2, 2)
∵ The parallelogram is translated down 7 units
∴ k = 7
→ By using the first rule above, subtract every y-coordinates by 7
∴ F' = (4, 4 - 7) = (4, -3)
∴ G' = (7, 4 - 7) = (7, -3)
∴ H' = (5, 2 - 7) = (5, -5)
∴ J' = (2, 2 - 7) = (2, -5)
∵ The parallelogram is reflected over the y-axis
→ By using the 2nd rule above, change the sign of each x-coordinate
∴ F" = (-4, -3)
∴ G" = (-7, -3)
∴ H" = (-5, -5)
∴ J" = (-2, -5)
∴ The coordinates of its image are (-4, -3), (-7, -3), (-5, -5), (-2, -5)
