FORWARD, FORWARDS

We can usually use either 'forward' or 'forwards' as an adverb.

Examples:

- She went forward for a few minutes.
- He kept moving backward(s) and forward(s).

Only 'forward' can be used in the expression, 'look forward to' and only forward is used as an adjective.

Examples:

- I look forward to hearing from you soon, if possible, for a further development of our business linkage.
- You are only allowed to move forward on this webpage.

Other words ending in -ward(s), like backwards(s), northward(s), homeward(s), downward(s), windward(s), follow a similar rule of the grammar.