Question

Finding Horizontal and Vertical Translations
If the point G(–4, 6) was moved horizontally 4 units to the left, which of the following is the correct mapping to define the translation?
(x, y) Right-arrow (x, y + 4)
(x, y) Right-arrow(x + 4, y)
(x, y) Right-arrow (x, y – 4)
(x, y) Right-arrow (x – 4, y)

Answer 1

Translation left 4 units subtracts 4 from the x-coordinate, so the correct mapping is
(x, y) → (x − 4, y).
Applied to G(−4, 6) gives G' = (−8, 6).