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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