Question

translate the triangle 4 units right and 3 units down. what are the coordinates of the image?

Explanation:

Step1: Find original coordinates

The original coordinates of the triangle's vertices: \( L(-4,1) \), \( K(-1,1) \), \( J(-1,3) \).

Step2: Apply translation rule

The translation rule for moving 4 units right (add 4 to \( x \)-coordinate) and 3 units down (subtract 3 from \( y \)-coordinate).
For \( L(-4,1) \): \( x=-4 + 4=0 \), \( y=1-3=-2 \), new coordinate \( L'(0,-2) \).
For \( K(-1,1) \): \( x=-1 + 4=3 \), \( y=1-3=-2 \), new coordinate \( K'(3,-2) \).
For \( J(-1,3) \): \( x=-1 + 4=3 \), \( y=3-3=0 \), new coordinate \( J'(3,0) \).

Answer:

The coordinates of the image are \( L'(0,-2) \), \( K'(3,-2) \), \( J'(3,0) \).