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QUESTION IMAGE

determine a series of transformations that would map figure m onto figu…

Question

determine a series of transformations that would map figure m onto figure n.
answer attempt 2 out of 2
a reflection over the y - axis followed by a translation down 4 unit(s).

Explanation:

Step1: Analyze the reflection

Reflecting Figure \(M\) over the \(y -\)axis changes the \(x -\)coordinates of its points. For a point \((x,y)\) in Figure \(M\), after reflection over the \(y -\)axis, it becomes \((-x,y)\).

Step2: Analyze the translation

After reflection, we need to translate the figure. A translation down \(4\) units changes the \(y -\)coordinate of each point. If a point has coordinates \((x,y)\) after reflection, after translation down \(4\) units, it becomes \((x,y - 4)\).

Answer:

A reflection over the \(y -\)axis followed by a translation down \(4\) unit(s).