Question

rectangle efgh is translated according to the rule t_{-5,9}(x,y). if the coordinates of the pre - image of point h are (-2,-3), what are the coordinates of h?
(7,-8)
(-7,6)
(3,-12)
(2,1)

Explanation:

Step1: Identify translation rule

The rule $T_{ - 5,9}(x,y)$ means subtract 5 from the x - coordinate and add 9 to the y - coordinate.

Step2: Apply rule to x - coordinate

The x - coordinate of the pre - image of point H is $x=-2$. After translation, $x'=-2 - 5=-7$.

Step3: Apply rule to y - coordinate

The y - coordinate of the pre - image of point H is $y = - 3$. After translation, $y'=-3 + 9=6$.

Answer:

B. $(-7,6)$