Write the equation of the function graphed using the cosine.
(2 points)
f(x)=
cos
(
)+
To write the equation of the function graphed using the cosine, we have to determine the amplitude, period, phase shift, and vertical shift of the graph.
Given the cosine function, the general equation is:
f(x) = A*cos(B(x-C)) + D
Where:
A: Amplitude - the distance from the center line to the maximum or minimum value of the function. It is the absolute value of the coefficient of the cosine function.
B: Period - the length of one complete cycle of the function. It is equal to 2pi divided by the coefficient of x.
C: Phase Shift - the horizontal shift of the graph. It is equal to (negative) the value inside the parentheses divided by the coefficient of x.
D: Vertical Shift - the amount by which the graph is moved vertically. It is equal to the value added or subtracted at the end.
Since the function is not given, we cannot determine the specific values of A, B, C, and D from the graph.