Which is the graph of y = cos(x) + 3?
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y = cosx + 3 ,
As you know, cosx is a periodic function and period is 2π .
Domain of cosx ∈ R and Range ∈[-1, 1]
y = cosx + 3 is also periodic function , period of y is also 2π.
Domain of y ∈ R and Range ∈ [ 2 , 4]
Here you can see domain of cosx and cosx + 3 are same. Just difference in range . Hence , graph of cosx + 3 is just 3 unit above from X - axis as shown in figure.
In simple ways when a function y = f(x) + C and we have given graph of y = f(x)
Then shift the graph y = f(x) , C unit in y - axis.
Here figure it is clear that graph of y = cosx + 3
As you know, cosx is a periodic function and period is 2π .
Domain of cosx ∈ R and Range ∈[-1, 1]
y = cosx + 3 is also periodic function , period of y is also 2π.
Domain of y ∈ R and Range ∈ [ 2 , 4]
Here you can see domain of cosx and cosx + 3 are same. Just difference in range . Hence , graph of cosx + 3 is just 3 unit above from X - axis as shown in figure.
In simple ways when a function y = f(x) + C and we have given graph of y = f(x)
Then shift the graph y = f(x) , C unit in y - axis.
Here figure it is clear that graph of y = cosx + 3
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