Question

identify the transformation.
reflection across y - axis
translation 5 units left, 1 unit up.
translation 5 units right, 1 unit down
90 rotation counter clockwise

Explanation:

Step1: Recall transformation definitions

Reflection across y - axis: \((x,y)\to(-x,y)\). Translation: \((x,y)\to(x + a,y + b)\) (horizontal shift \(a\), vertical shift \(b\)). Rotation: changes orientation.

Step2: Analyze the graph

Looking at the graph, the shape is moved horizontally and vertically. Counting the units: 5 units right (x - coordinate increase by 5) and 1 unit down (y - coordinate decrease by 1).

Answer:

Translation 5 units right, 1 unit down