Final answer:
To move the point (3, -2) to (1, 0), we translate it 2 units left along the x-axis and 1 unit up along the y-axis, which corresponds to option C.
option c is the correct
Step-by-step explanation:
To describe the translation of the point to its image, we must determine how the point (3, -2) moves to reach the point (1, 0). In Cartesian coordinates, moving horizontally to the right or left affects the x-coordinate, while moving vertically up or down affects the y-coordinate. Let's determine the horizontal and vertical distances moved.
Comparing the x-coordinates of the two points, the point has moved from x = 3 to x = 1, which is a horizontal movement of 2 units left (since the value is decreasing). Now, for the y-coordinate, the point has moved from y = -2 to y = 0, which is a vertical movement of 2 units up (since a negative value is moving towards zero).
Thus, the correct translation is described as 2 units left, and 1 unit up. This corresponds to option C.