Modeling with Trigonometric Expressions and Functions: Part One — Test
Question 13 • Precalculus
The function g of x represents f of x is equal to 9 cosine open paren x minus pi over 2 close paren plus 3 after translating pi over 6 units left and 4 units up. Which equation represents g of x ?
Answer
A
g of x is equal to 9 cosine open paren x minus pi over 3 close paren plus 7
B
g of x is equal to 9 cosine open paren x minus 2 pi over 3 close paren minus 1
C
g of x is equal to 9 cosine open paren x minus pi over 3 close paren minus 1
D
g of x is equal to 9 cosine open paren x minus 2 pi over 3 close paren plus 7
Explanation
A shift of π/6 units left means replace x with x + π/6. Thus g(x) = 9 cos(x + π/6 − π/2) + 3 + 4 = 9 cos(x − π/3) + 7, which is choice A, 9 cosine of (x − π/3) plus 7.
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