To perform a rotation of \(-270^\circ\) (which is equivalent to a \(90^\circ\) clockwise rotation) around the origin, we can use the rotation mapping rules, which are as follows:
For a point \((x, y)\):
- After a \(90^\circ\) clockwise rotation, the new coordinates will be \((y, -x)\).
Let’s denote the coordinates of point \(H\) as \((x_H, y_H)\).
Applying the rule:
- The new coordinates \(H'\) will be \((y_H, -x_H)\).
To provide a specific numerical answer for \(H'\), I would need the original coordinates of point \(H\). Please provide those coordinates so I can calculate the image \(H'\).