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?\
\\(\boldsymbol{(7, -8)}\\)\
\\(\boldsymbol{(-7, 6)}\\)\
\\(\boldsymbol{(3, -12)}\\)\
\\(\boldsymbol{(2, 1)}\\)

Explanation:

Step1: Understand the translation rule

The translation rule \(T_{-5,9}(x,y)\) means \(x\) - coordinate is \(x-5\) and \(y\) - coordinate is \(y + 9\).

Step2: Apply the rule to the pre - image coordinates

Given the pre - image of point \(H\) as \((-2,-3)\).
For the \(x\) - coordinate: \(x=-2-5=-7\).
For the \(y\) - coordinate: \(y=-3 + 9=6\).

Answer:

\((-7,6)\)