Question

some transformation rules are shown. for each rule, describe the transformation in words.
a. (x,y)→(x - 2,y - 3)
b. (x,y)→(-x,y)
c. (x,y)→(-y,x)
d. (x,y)→(x + 2,y)
points: 4 points

Explanation:

a. For the rule $(x,y)\to(x - 2,y - 3)$, the $x$-coordinate is decreased by 2 (moves 2 units to the left) and the $y$-coordinate is decreased by 3 (moves 3 units down).
b. For the rule $(x,y)\to(-x,y)$, the sign of the $x$-coordinate is changed, which is a reflection over the $y$-axis.
c. For the rule $(x,y)\to(-y,x)$, it is a 90 - degree counter - clockwise rotation about the origin.
d. For the rule $(x,y)\to(x + 2,y)$, the $x$-coordinate is increased by 2 (moves 2 units to the right) and the $y$-coordinate remains the same.

Answer:

a. Translates 2 units left and 3 units down.
b. Reflects over the y - axis.
c. Rotates 90 degrees counter - clockwise about the origin.
d. Translates 2 units right.