For which transformation do you graph the coordinate and rotate it counterclockwise by 270 degrees?

When dealing with transformations in a coordinate system, a rotation consists of turning a shape around a fixed point, typically the origin. In this case, rotating a point counterclockwise by 270 degrees is a specific type of rotation.

To understand why this answer is correct, consider what a 270-degree counterclockwise rotation entails. It is equivalent to a 90-degree clockwise rotation. Therefore, rotating a coordinate point 270 degrees counterclockwise moves it to a new position following the circular path around the origin. For example, if you take the point (1, 0) and rotate it counterclockwise by 270 degrees, it will end up at (0, -1).

This transformation is distinctly different from reflections, dilations, or translations. Reflections flip the figure over a specified axis, dilations stretch or shrink the figure, and translations slide the figure from one place to another without altering its size or orientation. These transformations do not involve the angular movement around a point in the same way that rotations do. Thus, the correct choice directly pertains to the action of rotating a point in the coordinate plane, confirming that the action described in the question aligns with the properties of rotation.