Answer:
To determine the transformation that maps the point (5,8) to (8,-5), we need to identify the specific translation, rotation, reflection, or scaling that occurred.
Let's start by analyzing the change in the x-coordinate. It increased from 5 to 8, so a horizontal translation has occurred with a magnitude of +3 units.
Next, let's consider the change in the y-coordinate. It decreased from 8 to -5, indicating a vertical translation has taken place with a magnitude of -13 units.
Therefore, the transformation that maps (5,8) to (8,-5) involves a horizontal translation of +3 units and a vertical translation of -13 units. This can be described mathematically as:
T(x, y) = (x + 3, y - 13)
In terms of coordinate notation, this means that the point (5,8) is transformed to (8,-5) by adding 3 to the x-coordinate and subtracting 13 from the y-coordinate.