Final answer:
The new coordinates of point C after translation by the directed vector <3, -2> are found by adding 3 to the x-coordinate and subtracting 2 from the y-coordinate of point C's original position.
Step-by-step explanation:
The student is asking about the outcome of a vector translation on the coordinates of a point in a quadrilateral. In essence, the student has a point C and wants to find its new position after applying a directed vector <3, -2>. To solve this, one would take the original coordinates of point C and add the components of the vector to each coordinate. If point C has coordinates (x, y), then after the translation, the new coordinates would be (x+3, y-2).