a) Maximum: 10
b) Minimum: - 2
To determine the amplitude we first recognize the midline, so I will answer part d first,
d) We have our maximum as 10, and our minimum as - 2. The midline, by it's name, is a line that divides the graph in half. What we do is determine the average of 10 and - 2 => 10 - 2/2 = 8/2 = 4
Midline: y = 4
Now I will go back to part c,
c) The amplitude would be 6. We take the difference between the maximum and the midline, or the minimum and the midline.
e) Period => The difference between two respective points on the graph
=> 3π/2 - π/2 = π, Period = π
f) We know that the period = π...
2π/b = π, b = 2π/π = 2
Vertical Shift => up 4
Equation: f(x) = 6cos(2x) + 4
