Trigonometry : Trigonometric Functions and Graphs

Study concepts, example questions & explanations for Trigonometry

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Example Questions

Example Question #2 : Determine Vertical Shifts

Which of the following graphs shows one of the original six trigonometric functions with a vertical shift of  applied?

Possible Answers:

Screen shot 2020 08 09 at 1.42.45 pm

Screen shot 2020 08 09 at 1.44.01 pm

Screen shot 2020 08 09 at 1.43.12 pm

Screen shot 2020 08 09 at 1.42.07 pm

Correct answer:

Screen shot 2020 08 09 at 1.42.07 pm

Explanation:

We are looking for an answer choice that has one of the six trigonometric functions, as well as that function shifted up 3 units. The only answer choice that displays that is this graph of  (purple) and  (blue).

Screen shot 2020 08 09 at 1.42.07 pm

The incorrect answers depict  and  and , and  and .

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