Question

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

Explanation:

Step1: Recall rotation formula

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

Step2: Apply the formula

Given the point \((-3,-12)\), here \(x=-3\) and \(y = - 12\).
Substitute into the formula: \((-12,-(-3))\).

Step3: Simplify

\(-(-3)=3\), so the image is \((-12,3)\).

Answer:

\((-12,3)\)