Question

how do you graph tan(x+pi/2)?

Answer 1

It will be the graph of tan(x), but shifted along the x-axis to the left, by an amount pi/2.

Answer 2

so pi/2 is the phase shift?

Answer 3

^ correct.

Remember that if you have f(x + a), you shift the graph to the left by an amount a, and if you have f(x - a), you shift the graph to the right by an amount a.

Answer 4

okay thank you i got it confused with the period. Thank you very much

Answer 5

Period would be changed if you had a factor in front of the x value,

http://msemac.redwoods.edu:16080/~wagner/math25/supp/phaseshift/phaseshift.pdf

(1) on the first page shows the period and phase shift for tangent functions.