Given the initial translation rule (x, y) = (x + 5, y - 8), the correct description that maps point A to point A′ is option A, which moves the point to the right by 5 units and down by 8 units.
Describe the translation that maps point A to point A′
Let's break down the translations for each option:
A: (x, y) = (x + 5, y - 8)
This translation moves point A to the right by 5 units (x + 5) and down by 8 units (y - 8).
B: (x, y) = (x - 5, y - 8)
This translation moves point A to the left by 5 units (x - 5) and down by 8 units (y - 8).
C: (x, y) = (x - 5, y + 8)
This translation moves point A to the left by 5 units (x - 5) and up by 8 units (y + 8).
Comparing the descriptions:
Option A moves the point to the right and down.
Option B moves the point to the left and down.
Option C moves the point to the left and up.
Given the initial translation rule (x, y) = (x + 5, y - 8), the correct description that matches the transformation is option A, which moves the point to the right by 5 units and down by 8 units.