Question

When the transformation (x, y) + (x, y + 3) is performed on MP, its image M'P' is on the x-axis with M' on the origin and P' on -3. What are the coordinates of MP? Justify your answer.

a. (x, y)
b. (x, y - 3)
c. (x, y + 3)
d. (x, y + 6)

Answer 1

The coordinates of MP are (x, y - 3).

Step-by-step explanation:

The given transformation is (x, y) + (x, y + 3), which means that the y-coordinate of a point is increased by 3.

If the image point of MP, M'P', is on the x-axis with M' at the origin and P' at -3, it means that the y-coordinate of P has decreased by 3.

Therefore, the original coordinates of MP are (x, y - 3).