The problem asks for the coordinates of the point $C(-3, 2)$ after it is rotated 270° clockwise around the origin.

Rotation by 270° clockwise rule:

When a point $(x, y)$ is rotated 270° clockwise around the origin, the coordinates transform as follows: $(x', y') = (y, -x)$

Applying this rule to the point $C(-3, 2)$:

The original coordinates are $(-3, 2)$. Applying the rotation transformation: $(x', y') = (2, 3)$

So, the coordinates of the resulting point $C'$ after the 270° clockwise rotation are $(2, 3)$.

Would you like more details or explanations on this? Here are 5 related questions you might explore:

1. How do the rotation rules differ for 90°, 180°, and 270° rotations?
2. How can you verify a rotated point using graphing?
3. What is the effect of counterclockwise rotations on point coordinates?
4. How are rotation transformations applied in three-dimensional space?
5. Can we combine multiple rotations and translate the result algebraically?

Tip: When rotating a point, remember to carefully apply the rule based on the specific angle and direction of rotation.