Question

What are the period and phase shift for f(x) = tan(2x + 𝜋)?

Period: pi over two; phase shift: x = negative pi over two

Period: negative pi over two; phase shift: x = pi over two

Period: 𝜋; phase shift: x = negative pi over two

Period: 𝜋; phase shift: x = pi over two

Answer 1

I thinnk its a but im confused with the box, i know phase shift is found by c/b so the box/2 and I know the period is found by pi/b.. pls help

Answer 2

you know the easiest way to find the phase shift without memorizing anything that will confuse you?

Answer 3

um no

Answer 4

you know that \(\tan(0)=0\) right?

Answer 5

set \(2x+\pi=0\) and solve for \(x\)
that will tell you how far it is shifted left or right

Answer 6

how do you know the box= pi?? thats the part im confused on

Answer 7

F(x)=tan(2x+value), tan and cotangent period is pi, rest trig functions period is 2pi, so use 2x/b to solve for period,
(2x+value) use 2x/pi, pi is from tan period, so period is 2
and (2x+value) means horizontal shift to the left
if (2x-value) horizontal shift right
(2x +value) (value)(box) + means vertical shift up
(2x- value) (value)(box) - value vertical shift down

Answer 8

im confused

Answer 9

on everything lol

Answer 10

there is no answer that says the period is 2

Answer 11

tan and cot has a period at pi
sin,cos,csc,sec, has a period at 2pi

tan(2x+value)
so formula 2(x)/b-2pi functions, formula pi/b
since in this equation (2x+value) = use pi/b
pi/2is period is answer, b=2x so pi/2. sorry for earlier
use the parentheses variables (2x+value) to shift horizontal, value is any number,
(2x+value) horizontal shift left +
(2x-value) left shift-
value will tell vertical shift +,-
(x+value)- this parentheses will always look like this for horizontal shift
value will tell you vertical shift always

Answer 12

so its A?

Answer 13

si

Answer 14

sorry i did not see the choices before, but I gave you all the information you need for future problems

Answer 15

thanks

Answer 16

np,make sense?