Question

question 2 1 pts what are the coordinates of the point (2,-3) after a counterclockwise rotation of 90° about the origin? (-3,-2) (-3,2) (3,2) (-2,3)

Explanation:

Step1: Recall rotation rule

For a counter - clockwise rotation of 90° about the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(-y,x)$.

Step2: Apply the rule

Given the point $(2, - 3)$, where $x = 2$ and $y=-3$. Substitute into the rule: $-y=-(-3) = 3$ and $x = 2$. So the new point is $(3,2)$.

Answer:

C. $(3,2)$