Question

The point (1, 3) maps to (–1, 4). Which of the following rules would generate this transformation?

1. (x + 4, y – 2)

2. (x + 2, y – 1)

3. (x – 2, y + 1)

4. (x – 4, y + 2)

Answer 1

Let's look at what's happening to the x and y coordinates.
x1 is 1, and x2 is -1. The difference between them is 2. x is decreasing by 2. Therefore, the first part of our answer is x-2.

How, y1 is 3 and y2 is 4. This is increasing by 1.

So, our answer is (x-2,y+1)