Choose the function whose graph is given by:

using a graph tool

I proceed to graph each case

case a)

see the attached figure N 1

case b)

see the attached figure N 2

case c)

see the attached figure N 3

case d)

see the attached figure N 4

therefore

the answer is the option A

The period of the function is . From the graph you can see that period of given function is (you can see that at x=0, y=1 and next time y=1 when x=4π ).

Then 

.

For the function becomes .

correct choice is A.

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step-by-step explanation:

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8