Question

what type of graph represents tan(x/2)=y?

Answer 1

you know the graph of y = tan x .. right??

Answer 2

yes is it any different? what would the change be?

Answer 3

?

Answer 4

the graph of this function ...or curve, is shrieked by half along x axis

Answer 5

The period is changed. Normally the period is π.
y = a tan (bx - c) + d
y = a tan (x/2)
The period is found by using π/b
π/1/2 = 2π

Answer 6

Let
\[ f(x) = \tan x \\
\text{ what would you expect from } f(\frac x 2) ??
\]

Answer 7

rest it just has same property as tan

Answer 8

so basically could i do x over two times 2pi which would equal 4pi and however many passes on the graph are 4pi away is the answer?

Answer 9

ah yes, if you do f(2x) ,, the period will double, if you do f(x/3) ,,, the period will reduce by 1/3

Answer 10

so since its x/2 the graph will reduce but will the curve lines in the graph still curve the same way as the original graph? just be closer

Answer 11

Look closely on how spaced out the units are. Normally, it's supposed to be measured in units of radians, but my software doesn't have that.
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Answer 12

Oh ... sorry, my mistake ... i said the opposite

Answer 13

omg thank you guys so much it helped now a stupid question lol how do i post another question because im new to this website and it doesnt show me where i can put in a question

Answer 14

i forgot that x's have opposite relation with ... dividing the domain actually expands the curve along x-axis ... while multiplying shrinks

Answer 15

TO post another question, close this question. THere should be a button by your question.

Answer 16

ok thank you! :)

Answer 17

You're welcome :)