To quickly zoom in or out on a specific point in the chart, you can point your mouse on the area and use its scroll wheel to zoom in and out based on the point of the chart.
To zoom into a specific area, the Zoom in magnifying glass icon works by clicking that icon, then left-clicking in the chart, moving the cursor, and then clicking again. The chart will then zoom in to that highlighted area. The Zoom out icon will zoom out one step at a time and will continue to zoom out when repeatedly clicking that icon.
You can quickly fit the new viewable area to your chart by double-clicking the price axis to autofit.
You can manually move the chart by simply clicking and dragging the chart wherever you want.
You can find a video outlining these steps here: Using zoom in Tradovate's charts