Question

Which of the following correctly describes the phase shift of the function f(x)=2sin(x+π6)
?(1 point)
Responses

−π6
negative pi over 6

2
2

1
1

π6
pi over 6

Answer 1

−π/6 (a left shift of π/6)

Explanation: sin(x + π/6) = sin(x − (−π/6)), so the graph is shifted left by π/6 (i.e., a phase shift of −π/6).