Question

composing transformations
which figure represents the final image after composition ( r_{y - axis} cdot t_{3,-1} ) is applied to rectangle lmnp?
1
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4

Explanation:

Step1: Apply the translation \(T_{3,-1}\)

A translation \(T_{3,-1}\) means moving each point of the rectangle \(LMNP\) \(3\) units to the right and \(1\) unit down.

Step2: Apply the reflection \(r_{y - axis}\)

The rule for reflection over the \(y\) - axis is \((x,y)\to(-x,y)\).

Answer:

4