`f(x) = cos(4x), g(x) = -2 + cos(4x)` Describe the relationship between the graphs of f and g. Consider amplitude, period, and shifts.

Textbook Question

Chapter 4, 4.5 - Problem 26 - Precalculus (3rd Edition, Ron Larson).
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caledon | High School Teacher | (Level 3) Senior Educator

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Amplitude for both graphs: 1

Period for both graphs: pi/2

The graphs are identical, except that the graph of -2 + cos (4x) is shifted 2 units on the negative Y axis due to the inclusion of the -2 + value. 

cos4x in red, -2 + cos4x in yellow

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