Question

graph the image of \\( \triangle qrs \\) after a rotation \\( 180^\circ \\) counterclockwise around the origin.

Explanation:

Step1: Identify original coordinates

From graph: Q(-4, -6), R(-3, -3), S(-1, -7)

Step2: Apply 180° rotation rule

Rule: (x,y)→(-x,-y).
Q'=(4,6), R'=(3,3), S'=(1,7)

Step3: Plot transformed points

Plot Q'(4,6), R'(3,3), S'(1,7) and connect.

Answer:

The image of △QRS after rotation has vertices at (4,6), (3,3), and (1,7) (plot these points to form the triangle).