Question

atch each translation of the point (1, -2) to the coordinates of its image.
3 units left
3 units right
3 units up
3 units down
(1, -5)
(1, 1)
(-2, -2)
(4, -2)

Explanation:

Step1: Recall translation rules

For a point \((x,y)\), moving \(a\) units left: \((x - a,y)\); moving \(a\) units right: \((x + a,y)\); moving \(a\) units up: \((x,y + a)\); moving \(a\) units down: \((x,y - a)\).

Step2: Apply to \((1,-2)\)

• 3 units left: \(x = 1-3=-2\), \(y=-2\) → \((-2, -2)\)
• 3 units right: \(x = 1 + 3=4\), \(y=-2\) → \((4, -2)\)
• 3 units up: \(x = 1\), \(y=-2 + 3=1\) → \((1, 1)\)
• 3 units down: \(x = 1\), \(y=-2-3=-5\) → \((1, -5)\) (matches the given)

Answer:

• 3 units left: $(-2, -2)$
• 3 units right: $(4, -2)$
• 3 units up: $(1, 1)$
• 3 units down: $(1, -5)$ (already matched)