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clee07
The answer is D) a reflection over the y-axis and then a translation down 5 units
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Answer:

Option D.

Step-by-step explanation:

In the graph attached if we consider a point X. We find that the given point or figure is reflected over the y - axis first.

It means x gets a mirror image in second quadrant when reflected over y-axis (equidistant form y-axis) and the coordinates of X' becomes(-3, 2).

Now this point X'(-3, 2) is translated down by 5 units to form a new point Y in third quadrant with the new coordinates (-3, -3)

Y- coordinates of Y = Y coordinates of X' - (-3)

                                = 2 - (-3) = 5 units down.

Therefore, Option D.is the correct option.