(2x + 3) and (2x - 3) are special factors because the only thing that distinguishes between the
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Answer: see answers below
<u>Step-by-step explanation:</u>
y = A cos (Bx - C) + D
- A is the amplitude
- Period = 2π/B → B = 2π/Period
- Phase shift = C/B
- D is the vertical shift (aka midline)
Given: A = 5/2, B = π/6, C = 0, D = 13/2
1) midline (D) ± amplitude (A) = Max & Min
Max: 13/2 + 5/2 = 18/2 = 9
Min: 13/2 - 5/2 = 8/2 = 4
2) Midline (D) is given as 13/2 = 6.5
3) Period = 2π/B = 2π/(π/6) = 12
4) Formula is given as: y = 5/2 cos (π/6)x + 13/2
5) change the coordinates of y = cos (x) and as follows:
- x-value: add C then divide by B
- y-value: multiply by A then add D
Note that A = 5/2, B = π/6, C = 0, D = 13/2
