Question

what are the coordinates of b after its preimage, b(2, 3), is rotated 270 degrees counterclockwise? (2, -3) (-3, 2) (-2, -3) (3, -2)

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 270 degrees counter - clockwise about the origin is $(x,y)\to(y, - x)$.

Step2: Apply the rule

Given the point $B(2,3)$, where $x = 2$ and $y = 3$. Substitute into the rule: $(2,3)\to(3,-2)$.

Answer:

$(3,-2)$