Shrt version of how an old CRT oscilloscopes works:
CRT=Cathode Ray Tube. Internally it generates a beam that when it strikes the phosphorus coating inside the screen of the tube lights it up and it will glow for a very short time. This beam creates a pinpoint of light that can be steered to any point on the screen. Typical operation will move the beam from left to right as viewed from the front. You can see it move as the speed is slowed down by turning the SEC/DIV knob CCW. When the beam is sped up by turning the knob CW it begins to move so fast it appears to be a solid line. The SEC/DIV knob is calibrated that each division of the black lines printed on the screen is equal to the setting on the knob. Once the timing of a waveform is known the frequency can be calculated.
Similarly the beam will deflect up/down by voltage as the beam moves left to right creating the waveform seen. The beam is literally drawing the waveform vertically by voltage as it moves horizontally based on time.
The beam requires something to "trigger" it to start. In Auto trigger mode it just automatically starts without an external trigger, thus the waveform may not be consistently drawn in the same location horizontally, it can appear to dance back and forth randomly. In NORMal trigger mode it looks for a trigger from whatever is selected by the SOURCE switch(es), CH1 in the previous post. It is looking for either a Rising or Falling voltage, selected by the SLOPE switch. The LEVEL knob is setting the voltage level the beam sweep is triggered at.
To summarize, the beam draws a waveform left to right, vertically by voltage horizontally by time. The beam needs a trigger to start each sweep.
Hopefully this helps. Feel free to ask any questions and I'll be happy to help or someone else will jump in.