Question

find the vertical shift of the trigonometric function.
f(x) = 3 sin(x) - 1
simplify any fractions.
vertical shift =
submit

Explanation:

Step1: Recall the general form of a trigonometric function

The general form of a sine function is \( f(x) = A\sin(Bx - C) + D \), where \( D \) represents the vertical shift.

Step2: Identify the value of \( D \) in the given function

In the function \( f(x) = 3\sin(x) - 1 \), we can compare it to the general form. Here, \( A = 3 \), \( B = 1 \), \( C = 0 \), and \( D = -1 \). The vertical shift is given by \( D \).

Answer:

\( -1 \)