Question

1. how many units has the polygon hijk been translated to produce a polygon with j’ at (2, -2)? image of a coordinate grid with polygon hijk \

\
\bigcirc\\; left 3 units and down 2 units\
\bigcirc\\; left 2 units and down 3 units\
\bigcirc\\; up 2 units and right 3 units\
\bigcirc\\; up 3 units and right 2 units

Explanation:

Step1: Find original coordinates of J

From the graph, original \( J \) is at \( (4, 1) \).

Step2: Calculate horizontal translation

New \( J' \) is at \( (2, -2) \). Horizontal change: \( 2 - 4 = -2 \) (left 2 units).

Step3: Calculate vertical translation

Vertical change: \( -2 - 1 = -3 \) (down 3 units).

Answer:

B. Left 2 units and down 3 units