Question

find the image of (-1, 3) obtained by translating 2 units down, followed by a rotation of 270° counterclockwise about the origin.
enter the number that belongs in the green box.

Explanation:

Step1: Translate the point

When translating a point \((x,y)\) \(2\) units down, the rule is \((x,y)\to(x,y - 2)\).
For the point \((-1,3)\), after translation: \((-1,3-2)=(-1,1)\).

Step2: Rotate the translated point

The rule for a \(270^{\circ}\) counter - clockwise rotation about the origin is \((x,y)\to(y,-x)\).
For the point \((-1,1)\), after rotation: \((1,1)\).

Answer:

\(1\)