Question

Which function is a phase shift of y=sin \theta by 5 units to the left?

(A) y=5 sinθ (C) y=sin (θ+5)
(B) y=sinθ+5 (D) y=sin 5 θ

Answer 1

C.

Explanation:

C describes theta moving +5 units. In math, negative goes left, negative goes left. However, since there are no negative values involved, we can assume that theta will move 5 units to the left in terms of absolute value, which excludes the need for the negative to be moved left. Therefore, the answer is C due to this change.

I hope this helps, let me know if anything confuses you, and I will try my best to make it less confusing.