What are the important information needed to graph #y = tan (x + pi/3) #?

1 Answer
KillerBunny
Nov 9, 2015

You are changing a function by adding something to its argument, i.e., you're passing from #f(x)# to #f(x+k)#.

This kind of changes affects the graph of the original function in terms of a horizontal shift: if #k# is positive, the shift is toward the left, and vice versa if #k# is negative, the shift is to the right.

So, since in our case the original function is #f(x)=tan(x)#, and #k=pi/3#, we have that the graph of #f(x+k)=tan(x+pi/3)# is the graph of #tan(x)#, shifted #pi/3# units to the left.

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