Question

Which of the following graphs best represents f(x) = −2 sin(4x) + 3?

Answer 1

The graph for f(x) = sin x is a sinusoidal graph.

f(x) = 2 sin 4x
has an amplitude of 2 or the highest point is 2 and a period of
Period = 3π/4 = π/3
f(x) = 2 sin 4x + 3
the graph is shifted 3 points upward.