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 $x$ - coordinate and add 9 to $y$ - coordinate.

Step2: Apply rule to $x$ - coordinate of point H

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

Step3: Apply rule to $y$ - coordinate of point H

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

Answer:

B. (-7,6)