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

Question

determine a series of transformations that would map figure x onto figure y. answer attempt 1 out of 2 a followed by a

Explanation:

Step1: Analyze the vertical position

Figure \(X\) is below the \(x -\)axis and Figure \(Y\) is above the \(x -\)axis. A reflection over the \(x -\)axis will change the sign of the \(y -\)coordinates of the points of Figure \(X\).

Step2: Analyze the translation

After reflection over the \(x -\)axis, we need to move the reflected figure up. Count the vertical distance between the reflected - over - \(x -\)axis figure (from Figure \(X\)) and Figure \(Y\). The vertical distance is \(14\) units. So a translation \(14\) units up is required.

Answer:

A reflection over the \(x -\)axis followed by a translation \(14\) units up.