Question

1. identify the transformation and write the rule:

Explanation:

Step1: Identify original points

Original vertices: $N(-4, 0)$, $U(-2, 3)$, $M(-3, -4)$

Step2: Identify transformed points

Transformed vertices: $N'(-3, 0)$, $U'(-1, 3)$, $M'(-2, -4)$

Step3: Calculate coordinate change

For $x$-coordinates: $-3 - (-4) = 1$, $-1 - (-2) = 1$, $-2 - (-3) = 1$
$y$-coordinates remain unchanged.

Step4: Define transformation rule

Each point shifts right 1 unit.

Answer:

This is a horizontal translation (shift right 1 unit). The transformation rule is $(x, y) \to (x+1, y)$