write a cosine function

Question

Write a cosine function that has an amplitude of 2, a midline of 5 and a period of π

Answer 1

y = 2Cos(1/2)x + 5

In general, y = aCosb(x-c) + d

a = amplitude = 2

b = 2pi/period = 2pi/pi = 2

c = phase shift = 0

d = vertical shift = 5



Note that the high will be 7 and the low will be 3.

Answer 2

Take a look at the other question of yours that I answered and see if you can figure it out,

where "A" is the amplitude, "B" defines the period where the period is 2π/B, "C" is the horizontal shift or phase shift, and "D" is the vertical shift or midline location.