Question

Select the correct answer. Which equation matches the function shown in the graph?

A. y = cos(x - π/4)
B. y = cos(x + π/2)
C. y = cos(x - π/2)
D. y = cos(x + π/4)

Answer 1

D. y = cos(x + π/4)

Explanation:

Translation of a graph of f(x) by <h, k> will make it be a graph of ...

g(x) = f(x -h) +k

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In this case, the cosine function is translated π/4 units to the left. That is, the translation is <h, k> = <-π/4, 0>. Then the function is described by ...

y = cos(x -(-π/4)) +0

y = cos(x +π/4)