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 $h$?
$(7, - 8)$
$(3, - 12)$
$(-7,6)$
$(2,1)$

Explanation:

Step1: Identify translation rule

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

Step2: Calculate new x - coordinate

The original x - coordinate of point H is $x=-2$. New x - coordinate is $x'=-2 - 5=-7$.

Step3: Calculate new y - coordinate

The original y - coordinate of point H is $y = - 3$. New y - coordinate is $y'=-3 + 9=6$.

Answer:

$(-7,6)$