Here's what I gathered about variations of manipulated axis and issues due to it. In fact, I'm also looking and by no means an expert at this:)
All these are from various places on the web.
Manipulation of Y-axis (X-axis can also be manipulated similarly) can happen, either because:
1. The axis has been scaled inappropriately. Thus, instead of displaying a 100 percent units in the Y-axis, you scale up every unit by 2, and thus have 200 units the axis. This magnifies the error, and hence manipulative.
2. The axis is either extended or reduced abruptly. Instead of showing the 100 percent units in the Y-axis, you show only 50; visually conveying something very different from reality. Hence manipulative. Note that this different from truncating.
3. The axis has missing ticks. Omitting certain percentage points in Y-axis will lead to some missing data points, and this could skew the representation. This will be especially true if you were using line charts.
4. Misleading graph with no scale. This will totally misrepresent and is often used in media.
Attached some pictures I collected from the web.