Question

Point A is reflected over the xx-axis to create point A'. Point A' is then reflected over the yy-axis to create point A''. What ordered pair describes the location of A''? A translation of (x-2, y+3) means:

a) (x + 2, y - 3)
b) (x - 2, y + 3)
c) (x + 2, y + 3)
d) (x - 2, y - 3)

Answer 1

When a point is reflected over the x-axis and then over the y-axis, the ordered pair for the final point will have both coordinates with a negative sign.the answer is (x - 2, y + 3) (option b).

Step-by-step explanation:

When a point is reflected over the x-axis, the y-coordinate changes sign. So, if point A is (x, y), then point A' will be (x, -y). When A' is reflected over the y-axis, the x-coordinate changes sign. So, if A' is (x, -y), then A'' will be (-x, -y).

Therefore, the ordered pair that describes the location of A'' is (-x, -y).

Regarding the given translation, (x-2, y+3) means that you subtract 2 from the x-coordinate and add 3 to the y-coordinate. Therefore, the answer is (x - 2, y + 3) (option b).