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: Apply the translation rule to the x - coordinate

The translation rule \(T_{-5,9}(x,y)\) means we subtract 5 from the x - coordinate. Given \(x=-2\), then \(x'=-2 - 5=-7\).

Step2: Apply the translation rule to the y - coordinate

We add 9 to the y - coordinate. Given \(y = - 3\), then \(y'=-3 + 9=6\).

Answer:

\((-7,6)\)