2. A translation, \( T \), maps points as showा in this example. \( (4,-7) \rightarrow(-3,5) \) \( \begin{array}{ll}\text { A. What is } T(1,3) \text { ? } & \text { B. What is } T(-2,0) \text { ? }\end{array} \)

To solve the translation, we first find the translation vector by comparing the original point with its image. The point \( (4,-7) \) translates to \( (-3,5) \), which suggests a translation vector of \( T(x,y) = (x-7, y+12) \). Now we apply this to the two points: For \( T(1,3) \): - Apply the translation: \( T(1, 3) = (1-7, 3+12) = (-6, 15) \). For \( T(-2,0) \): - Apply the translation: \( T(-2, 0) = (-2-7, 0+12) = (-9, 12) \). So, \( T(1,3) = (-6, 15) \) and \( T(-2,0) = (-9, 12) \).