Answer: It is the second graph. See the attached figure.Explanation:1) You can consider the function y = sin(θ − 2)
as a transformation of the
parent function <span>
y = sin θ
2) Subtracting a constant from the argument of a function leads to
shifting the graph as many units to the right as the constant.3) So, subtracting 2 from the argument of y = sin </span><span>θ
shifts its graph 2 units to the right.4) Since the
x-intercepts of </span><span>y = sin θ in the interval 0 to 2π are 0, π, and 2π, the x-intercepts of </span><span>y = sin(θ − 2)
will be 2, π + 2, and 2π + 2.
5) The x-intercepts are not enough to differentiate between some graphs, so take into account the
local maxima or minima.
The local maxima of the function </span><span>y = sin θ in the interval 0 to 2π are at x = π/2, and 3π/2, then
the local maximum of <span>
y = sin(θ − 2) is at π/2 + 2.</span>
That is the second graph.I attach the graph for avoiding confussions.</span>