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A real life example of the sine function could be a ferris wheel. People board the ride at the ground (sinusoidal axis) and the highest and lowest heights you reach on the ride would be the amplitudes of the graph.
The straight pole around which a wheel turns. In political terms, the ´Axis´ countries in WWI and WW II were the countries fighting alongside Germany.
For an example, if negative and positive directions on the X and Y axes represent left/right and forward/backward, Z axis represents up/down.
They are the axes. Usually horizontal = x-axis, vertical = y-axis. But that need not always apply. In a displacement-time or speed-time graph, for example, the horizontal axis = t-axis (for time).
When plotTing data over time, for example: horizontal axis: fish stock and vertical axis: year (1990-2010).