To find the image of the point (17, 14) after a 270-degree counterclockwise rotation about the origin, we can use the rules of rotation in the coordinate plane.
When rotating a point (x, y) counterclockwise around the origin by 270 degrees, the new coordinates can be found using the following transformation:
New x = y
New y = -x
For the point (17, 14):
New x = 14
New y = -17
Thus, the image of the point (17, 14) after a 270-degree rotation counterclockwise about the origin is (14, -17).