Question

If f is any function with a period of 8, determine the period of each related function.

A. y=f(x+1)
B. y=f(1/2x)

Answer 1

adding one will shift the graph to the left one unit, but will not change the period
it will still be 8

Answer 2

as for the second one
\[f(\frac{1}{2}x)\] as that will make the period twice as long since it will take \(\frac{1}{2}x\) twice as long to cover the period as it takes \(x\) to do it
in your case 16

Answer 3

gracias!

Answer 4

de nada