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: Understand the translation rule

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

Step2: Calculate the new x - coordinate

The pre - image x - coordinate of point H is $x=-2$. The new x - coordinate $x'=-2 - 5=-7$.

Step3: Calculate the new y - coordinate

The pre - image y - coordinate of point H is $y = - 3$. The new y - coordinate $y'=-3 + 9=6$.

Answer:

B. $(-7,6)$