could somebody please help me with my transformations.
y = 0.5sin(x/4 - x/16) -5
I might be dooing it wrong but i rearanged it to
y = 0.5sin(x - x/4) -5
is this correct?
in any case, what would be the period and x translation?
A is the amplitude - this is how "high" the graph will go relative to . For example if A = 2 the extrema will be
B affects the period of the graph. For the graph will have a shorter period and for a longer period. On a graph this means that the wave will be more or less "squashed" on the x axis respectively.
C is the phase difference which determines the shift on the x axis of the graph. The shape doesn't change, just it's positions and intercepts. For the graph will move to the left and for to the right. is no change obviously enough
D is the y-shift. In other words how much the whole graph is shifted either up or down the y axis.
In your case you have
I have plotted the graphs of in orange, in green and in blue for comparison purposes
is on a separate attachment