Graphing tan function

[dark otter]

y = -1/3 tan 2x

so first make the graph of tan 2x

do you know tan 2x

tan x

then let me show you

wait

all the points are multiplied by a

1/a*

yes

every point

for tan 2x

not for tan ax

for that

period becomes 1/a times

so asymptoted are tangents meeting at infinty

so see these lines

for tan x

they are

x = pi/2

3 pi/2

so for tan 2x

they are

x = pi /4