Question

point a(3,2) is rotation 90 degrees counterclockwise about the origin. what are the coordinates of the image a? (-3,-2) (3,-2) (-2,3) (2,-3) clear my selection

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(90^{\circ}\) counter - clockwise about the origin, the transformation rule is \((x,y)\to(-y,x)\).

Step2: Apply the rule to the given point

For the point \(A(3,2)\), where \(x = 3\) and \(y=2\).
Substitute \(x = 3\) and \(y = 2\) into the rule \((x,y)\to(-y,x)\).
We get \((3,2)\to(-2,3)\).

Answer:

\((-2,3)\) (the third option)