find the equation of the axis of the function 𝑓(𝑥) = 2 sin(𝑥 + 30°) + 2

Question

𝑓(𝑥) = 2 sin(𝑥 + 30°) + 2

Answer 1

The equation of the axis (also known as the midline or sinusoidal axis) for a sinusoidal function in the form f(x) = A sin(B(x - C)) + D or f(x) = A cos(B(x - C)) + D is y = D.

In this case, the function is f(x) = 2 sin(x + 30°) + 2. Here, D = 2, so the equation of the axis is:

y = 2