Graph 2: Please help me sketch this graph. Please label:
1. the maximum and minimum
2. the midline
3. the period and rate constant
4. what is the formula for the function

 see answers below

Step-by-step explanation:

y = A cos (Bx - C) + D

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:

Note that A = 5/2, B = π/6, C = 0, D = 13/2

if x = 1, then the answer is 3.5

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4