Question

find the image of (-3, -12) after a rotation 270° ccw.

Explanation:

Step1: Recall rotation formula

For a \(270^{\circ}\) counter - clockwise rotation, the formula is \((x,y)\to(y, - x)\).

Step2: Substitute the values

Given the point \((-3,-12)\), substitute \(x=-3\) and \(y = - 12\) into the formula.
We get \(y=-12\) and \(-x=-(-3) = 3\).

Answer:

\((-12,3)\)