Question

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

Explanation:

Step1: Observe x - coordinate change

Pick a point, say A(-1,-2). Its image A' is at (-4,0). The change in x - coordinate is $x'=x - 3$ (since - 4=-1 - 3).

Step2: Observe y - coordinate change

The change in y - coordinate is $y'=y + 2$ (since 0=-2 + 2).

Step3: Write the translation rule

The general rule for translation is $T_{a,b}(x,y)=(x + a,y + b)$. Here $a=-3$ and $b = 2$, so the rule is $T_{-3,2}(x,y)$.

Answer:

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