Question

rotate point a 90 counter - clockwise about the origin. enter the new coordinates. a=(?,)

Explanation:

Step1: Recall rotation formula

The rule for rotating a point $(x,y)$ 90 degrees counter - clockwise about the origin is $(x,y)\to(-y,x)$.

Step2: Identify original coordinates

The original point A has coordinates $(3,2)$, so $x = 3$ and $y=2$.

Step3: Apply the formula

Substitute $x = 3$ and $y = 2$ into the formula. We get $x'=-y=-2$ and $y'=x = 3$.

Answer:

$(-2,3)$