The Axe language in general has very high similarity to both Assembly and Basic, so a strong background in either one will definitely help with programming.  An assembly tutorial will have some very useful information for you about how some things actually work and a Basic tutorial would help with program flow since the syntax is similar, however the optimizations are completely different and hardly any basic "tricks" can actually be carried over.  What programming languages do you have a background in?

I have a background in some Python, and TI-BASIC with a little bit of experience in other languages. The language I'm most familiar with would definitely be TI-BASIC though. However, I wouldn't say I'm anything more than passable in any computer languages.

Just [another] quick question: How do you do grayscale in Axe?

Just [another] quick question: How do you do grayscale in Axe?

That doesn't have a quick answer, but let me try to go over it briefly.  So when you draw graphics, you normally draw them to the Buffer.  To update the screen, you GispGraph, which copies the Buffer onto the screen.  In order to do greyscale graphics, you need more than one buffer however.  Drawing greyscale requires 2 buffers, the main Buffer, and the BackBuffer.  You can draw to the backbuffer by adding the Polar Token r after most graphics commands (accessible under [2nd] [Angle]).  And instead of updating the screen with Dispgraph, you update it with DispGraphr for 3shade greyscale, and DispGraphrr for 4 shade.  The commands work like this:

DispGraphr:
Buffer        BackBuffer        Color

0             0                 White
0             1                 Grey
1             0                 Black
1             1                 Black

DispGraphrr:
Buffer        BackBuffer        Color

0             0                 White
0             1                 Light Grey
1             0                 Dark Grey
1             1                 Black

So for example if you turn a pixel on the BackBuffer, and you clear a pixel on the main Buffer, then use DispGraphrr, it will display a light grey pattern to the screen.  One final note, is that you need to keep using DispGraphr or DispGraphrr repeatedly for as long as you want the screen to have different colors, if you stop, it will just look checkery and weird.

Did you use DispGraph^r or DispGraph^rr? Because DispGraph only displays the main buffer (L₆).

Yeah, it was what FinaleTI said