graphic transformation?

[red and white kop!]

on the same set of axes plot the graphs of y = sin alpha, y = 2sin alpha, y = 3 sin alpha. what can you deduce about the relationship between the curves y = sin alpha and y = k sin alpha?
well from the graph (from a graphic calculator btw) the result is pretty obvious, ijsut dont know the appropriate term to describe it. increase in y, what? transformation?

 

[soroban]

Hello, red and white kop!

The vertical displacement (from the axis to a "peak") is the amplitude.

 

[red and white kop!]

so the answer is 'multiplication by k of the amplitude of the curve sinalpha'?

 

[Deleted member 4993]

The graph is expanding (or contracting - depending on the relative value of 'k') in 'y' direction - the range of the function is getting bigger/smaller.