Question

what is the result of rotating point $(3, -2) 90^{circ}$ counterclockwise around the origin?
$(-2, 3)$
$(2, 3)$
$(-3, -2)$

Explanation:

Step1: Recall rotation formula

When a point \((x,y)\) is rotated \(90^{\circ}\) counter - clockwise around the origin, the new coordinates \((x',y')\) are given by the formula \((x',y')=(-y,x)\).

Step2: Substitute values

Here \(x = 3\) and \(y=-2\). Substitute into the formula: \(x'=-(-2)=2\) and \(y' = 3\).

Answer:

\((2,3)\)