The amplitude is -2
The period is 2
The vertical shift is -2
The horizontal shift is 0.2
Number of cycles between 0 and 2π
The equation of the graph y = -2 cos (π(x - 0.2) - 2
How to write the equation
Amplitude
= (max + min) / 2
= (0 - 4) / 2
= -2
Period is number of oscillations in interval 2π. From the graph, period = 2
B = 2π / period = 2π / 2 = π
C Horizontal shift form the original graph. this is approximately 0.2
D this is vertical shift> From the graph the value is -2
The general form of the equation
y = A cos (B(x - C) + D
substituting
y = -2 cos (π(x - 0.2) - 2