> What are the horizontal inputs used for?
What ToN said. Mostly a frill for fancy tricks. Not needed for Basic Waveform Display. But it didn't cost a lot to bring the H-sweep out to front jacks, and it -can- be useful.
Feed the same input to both V and H. Set H to "Ext". You get a diagonal line. If both inputs are the same and both V and H gains are the same, it is 45 degrees.
Now feed the H with the input of an amplifier, and the V with its output. The output is bigger. The slant line gets very tall, off the top/bottom of the display. Turn down the V gain. Now as you increase the signal, both input and output get bigger, up to a point; then the V signal (amplifier output) overloads. The slant-line becomes an S or Z shape. Add in phase shifts (ovals), bias shifts, sticking, it can get very messy. I'm not sure how much use this is.
A modification of this sold a lot of 'scopes. A radio speech transmitter has an audio signal modulated onto a radio signal. Compare the two X-Y, you can see if you are modulating too much or too little (distorted or faint). That's one of the first practical uses for 'scopes, and stayed common from AM all the way through SSB (not much use on FM or digital radio transmitters).
Feed a stereo signal Left to V and Right to H. If the stereo is "mono" you get a diagnonal line. If a signal is all in one channel or the other you get a vertical or horizontal line. For "pan-pot stereo mix" with no reverb, you get a splay of diagonal lines, angle proportional to that instrument's pan-pot setting. On my 2-mike live orchestral recordings I got a very diffuse cloud, each instrument and its reflections on a different slant.