Question

If point A(-8, 5) is reflected over the line y=2 and then translated according to the rule (x,y) -> (x-1, y-4), what quadrant will point A be in?

Answer 1

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Answer:

3rd quadrant

Explanation:

The second-quadrant point will lie in the 3rd quadrant after reflection over the line. Its coordinates there will be ...

A'(-8, 2·2 -5) = A'(-8, -1)

Then, translation down and to the left will move it further into the 3rd quadrant, to ...

A''(-8-1, -1-4) = A''(-9, -5) . . . . a 3rd-quadrant point