ANSWER
(0,2)
Step-by-step explanation
The mapping point A has coordinate (0,2).
We want to find the coordinates of this point after a rotation of -90° about the origin.
In other words, we want to find the image of this point after a rotation of 90° anticlockwise.
The rule is
![(x,y) \to( - y,x)](https://img.qammunity.org/2020/formulas/mathematics/high-school/hx3q1l0wdngtk6y9akhfqrk9sqsgyt6y0p.png)
This implies that
![(2,0) \to(0,2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/5lt6j0ylc2d1wdalcci65we6w7t4wkapdc.png)