# What is the phase shift, vertical displacement with respect to #y=sinx# for the graph #y=sin(x-50^circ)+3#?

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The phase shift of the graph y = sin(x - 50°) + 3 with respect to y = sin(x) is 50° to the right. The vertical displacement is 3 units upwards.

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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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