Edit bezier curve control points

When editing a bezier curve, how do I edit the control points? When clicking “edit points” I can only see and move the data points, but not the control points.

By control points, I mean points that are not actually on the curve, but determine the curvature and the curve direction near the datapoint.

Goto Tools > Options > LibreOffice Draw > View. Enable the option “All control points in Bézier editor”, otherwise you will only see those controls which belong to the point you currently clicked. If that does not solve your problem, please describe in more details how you try to access a control point.