Question

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For the trigonometric graph below, determine the cosine equation. 4 8 12 16 20 24 28 Select one: O a.y=25cos 14x + 20 O b. y= 2500s " x + 20 O c.y=20cos14x + 25 d.y= 2000-2*x +25

Answer 1

Solution:

5 - - + 4 & 12 14 16 20 for the above graph the equation can be written in the form, Y = A cos (Bx+ c) + D - C A = Amplitude = Peak value from midline D= Midline from the graph the midline = 45-5 = 90 - D = 20 9 . e - 25 = A 2) A = 45- 20 from the graph we can see that period 27 > B-274. bio B Graph starts at x=0, so Bre te =0 -) 27 XO += 0 of Cro from we can write graphis equation as (y = 25 cos (34x) + 20 (option)

5 - - + 4 & 12 14 16 20 for the above graph the equation can be written in the form, Y = A cos (Bx+ c) + D - C A = Amplitude = Peak value from midline D= Midline from the graph the midline = 45-5 = 90 - D = 20 9 . e - 25 = A 2) A = 45- 20 from the graph we can see that period 27 > B-274. bio B Graph starts at x=0, so Bre te =0 -) 27 XO += 0 of Cro from we can write graphis equation as (y = 25 cos (34x) + 20 (option)

Therefore, the answer is option b.