Question

anslations explained! question 3 03:30 3. drag the correct answer to the correct point. (9,-7) (14,0) (3,-9) (6,2) (6,-3) (-2,0) (-2,-2) (6,1) (-9,-9) e(?,?) answer by dragging items here f(?,?) answer by dragging items here g(?,?) answer by dragging items here

Explanation:

Step1: Find the translation rule

To find the translation rule, we compare the coordinates of \(P(3,0)\) and \(P'(-5,4)\).
The \(x\) - coordinate: \(3 + a=-5\), so \(a=-5 - 3=-8\).
The \(y\) - coordinate: \(0 + b = 4\), so \(b = 4\).
The translation rule is \((x,y)\to(x - 8,y + 4)\).

Step2: Apply the translation rule to \(Q(6,-6)\)

For the \(x\) - coordinate of \(Q'\): \(x=6-8=-2\).
For the \(y\) - coordinate of \(Q'\): \(y=-6 + 4=-2\).

Answer:

\((-2,-2)\)