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’

Answer 1

The new coordinates of H would be (-7,6).

Answer 2

Answer:  The co-ordinates of the image H' are (-7, 6).

Step-by-step explanation:  Given that the rectangle EFGH is translated according to the following rule :

$T_{-5,9}(x,y).$

We are to find the co-ordinates of the image H' if the co-ordinates of the pre-image H are (-2, -3).

We know that

$T_{h,k}(x,y)=(x+h,y+k).$

For the given information, we have

(h, k) = (-5, 9)      ⇒ h = -5  and  k = 9.

Therefore, we get

$T_{-5,9}(-2,-3)=(-2-5,-3+9)=(-7,6).$

Thus, the co-ordinates of the image H' are (-7, 6).