Question

A (-1,4) maps into A' (2,-1). Find the translation rule.

a) (x, y) -> (x+3, y-5)
b) (x, y) -> (x-3, y+5)
c) (x, y) -> (x+1, y-5)
d) (x, y) -> (x-1, y+5)

Answer 1

The translation rule that maps point A (-1,4) to A' (2,-1) is a) (x, y) -> (x+3, y-5), reflecting an increase of 3 in the x-coordinate and a decrease of 5 in the y-coordinate.

Step-by-step explanation:

To find the translation rule that maps point A (-1,4) into A' (2,-1), we need to determine how much the x and y coordinates have changed from A to A'.

The change in the x-coordinate (Δx) from A to A' is 2 - (-1), which equals 3. The change in the y-coordinate (Δy) from A to A' is -1 - 4, which equals -5.

Therefore, the translation rule is (x, y) -> (x + 3, y - 5), which corresponds to answer choice a) (x, y) -> (x+3, y-5).