Final answer:
The image of the point (0, 1) after a rotation of 270° counterclockwise about the origin is (0, -1).
Step-by-step explanation:
To find the image of the point (0, 1) after a rotation of 270° counterclockwise about the origin, we can use the formula for rotating a point in the coordinate plane. The formula is:
x' = x*cos(angle) - y*sin(angle)
y' = x*sin(angle) + y*cos(angle)
Using this formula, plugging in the values, and simplifying, we get:
x' = 1*cos(270°) - 0*sin(270°) = 0
y' = 1*sin(270°) + 0*cos(270°) = -1
Therefore, the image of the point (0, 1) after a rotation of 270° counterclockwise about the origin is (0, -1).