Question

write a rule to describe each transformation.
1)
a) translation: (x, y)→(x + 2, y - 1)
b) translation: (x, y)→(x + 3, y - 2)
c) translation: (x, y)→(x + 3, y + 4)
d) translation: (x, y)→(x + 2, y)

Explanation:

Step1: Analyze point - movement in x - direction

Pick a point, say $W$. Observe its x - coordinate change. The x - coordinate of a general point $(x,y)$ moves 2 units to the right. So new x - coordinate is $x+2$.

Step2: Analyze point - movement in y - direction

Still looking at point $W$, the y - coordinate of a general point $(x,y)$ moves 1 unit down. So new y - coordinate is $y - 1$. Thus the rule is $(x,y)\to(x + 2,y - 1)$.

Answer:

A. translation: $(x,y)\to(x + 2,y - 1)$