SOLUTION: Graph of f(x) = 1/2 cos (x/2)

Question 464330: Graph of f(x) = 1/2 cos (x/2)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Graph of f(x) = 1/2 cos (x/2)
...
Standard form of cosine function: y=Acos(Bx-C), A=amplitude, Period 2π/B, Phase-shift=C/B
For given cosine function:
Amplitude=1/2
B=1/2
Period=2π/B=2π/(1/2)=4π
1/4 period=4π/4=π
Phase-shift=0
Graphing: Assume for one period
On the x-axis make tick marks at 0, π, 2π, 3π and 4π
y at these x-values=1/2, 0, -1/2, 0, 1/2 respectively
You now have these points to plot the graph: (0,1/2), (π,0), (2π,-1/2), (3π,0), (4π,1/2)
RELATED QUESTIONS
Find the domain of f(x)=1/2-cos x. (answered by ikleyn)

Sketch the graph of f(x) = -cos[1/2(x-45°)] on the interval -360° ≤ x ≤... (answered by ikleyn)

Sketch the graph of the function , show your solution 1. F(x)= 1/4 sin x 2. F(x)= 4... (answered by Fombitz)

graph... (answered by robertb,addingup)

describe the relationship between the graphs of f and g ? 1.f(x) = cos x g(x) = cos... (answered by lwsshak3)

Graph f(x)<=... (answered by jim_thompson5910)

Graph each sinusoidal function over two complete cycles a)f(x) = 2 cos x - 3 b)f(x) = 4 (answered by stanbon)

How many times does the graph of f(x) = cos(x) intersect the graph of g(x) = cos(2x) in... (answered by Edwin McCravy)

Graph... (answered by checkley77)