Question

find the image of (2, -2) obtained by translating 2 units up, followed by a rotation of 90° 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 up, the rule is \((x,y + 2)\).
For the point \((2,-2)\), after translation, we get \((2,-2 + 2)=(2,0)\).

Step2: Rotate the translated point

The rule for a \(90^{\circ}\) counter - clockwise rotation about the origin is \((x,y)\to(-y,x)\).
For the point \((2,0)\), after rotation, we get \((-0,2)=(0,2)\).

Answer:

\(0\)