Question

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

Explanation:

Step1: Left - subtract from x - coord

For 3 units left of (1, - 2), new x is \(1 - 3=-2\), y remains - 2, so new point is (-2, - 2).

Step2: Right - add to x - coord

For 3 units right of (1, - 2), new x is \(1+3 = 4\), y remains - 2, so new point is (4, - 2).

Step3: Up - add to y - coord

For 3 units up of (1, - 2), x remains 1, new y is \(-2 + 3=1\), so new point is (1, 1).

Step4: Down - subtract from y - coord

For 3 units down of (1, - 2), x remains 1, new y is \(-2-3=-5\), so new point is (1, - 5).

Answer:

3 units left: (-2, - 2)
3 units right: (4, - 2)
3 units up: (1, 1)
3 units down: (1, - 5)