Question

1. how many units has the polygon rstu been translated to produce a polygon with r’ at (3, 4)? options: up 3 units and right 6 units; up 6 units and right 3 units; left 6 units and down 3 units; left 3 units and down 6 units

Explanation:

Step1: Find original coordinates of R

From the graph, the original coordinates of point \( R \) are \( (-3, 1) \).

Step2: Calculate horizontal translation

The new \( x \)-coordinate of \( R' \) is \( 3 \). The horizontal translation is \( 3 - (-3) = 6 \) units to the right (since the result is positive).

Step3: Calculate vertical translation

The new \( y \)-coordinate of \( R' \) is \( 4 \). The vertical translation is \( 4 - 1 = 3 \) units up (since the result is positive).

Answer:

Up 3 units and right 6 units