# How do you use transformation to graph the sin function and determine the amplitude and period of #y=sin(x+pi/6)#?

See below.

If we look at a trig function in the form:

Amplitude is

Period is

Phase shift is

Vertical shift is

From:

We can see amplitude is 1. This is the same as for

The period is:

Phase shift is:

From the above, we conclude that the graph of

Graph of

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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