irina wants to tile her floor using the translation shown below. which is the rule for this…

irina wants to tile her floor using the translation shown below. which is the rule for this translation?\n$t_{-3,2}(x,y)$\n$t_{2,-3}(x,y)$\n$t_{3,2}(x,y)$\n$t_{-2,3}(x,y)$

irina wants to tile her floor using the translation shown below. which is the rule for this translation?\n$t_{-3,2}(x,y)$\n$t_{2,-3}(x,y)$\n$t_{3,2}(x,y)$\n$t_{-2,3}(x,y)$

Answer

Explanation:

Step1: Observe x - coordinate change

Take a point, say A(0, - 2). Its image A' is at (-3,0). The change in the x - coordinate is (x'=x - 3) (since (0-3=-3)).

Step2: Observe y - coordinate change

The change in the y - coordinate of point A is (y'=y + 2) (since (-2 + 2=0)). The general rule for a translation is (T_{a,b}(x,y)=(x + a,y + b)), where (a=-3) and (b = 2). So the translation rule is (T_{-3,2}(x,y)).

Answer:

(T_{-3,2}(x,y))