For the following equations i need to find :
vert trans
horiz trans
period
asympt.
domain
range
rise or fall
a) y = tan 2x
b) y = 3 tan(x-pi/3)
c) y+2 = tan(x + pi/6)
d) -1/4(y-2) = tan(3x)
e) -1/2(y+1) = tan(x)
thank you for the help
For the following equations i need to find :
vert trans
horiz trans
period
asympt.
domain
range
rise or fall
a) y = tan 2x
b) y = 3 tan(x-pi/3)
c) y+2 = tan(x + pi/6)
d) -1/4(y-2) = tan(3x)
e) -1/2(y+1) = tan(x)
thank you for the help
Start by rearranging each of them so that y is the subject. Then they should all be of the form $\displaystyle \displaystyle \begin{align*} y = a\tan{\left(bx - c\right)} + d \end{align*}$, where $\displaystyle \displaystyle \begin{align*} a \end{align*}$ is the dilation factor, $\displaystyle \displaystyle \begin{align*} c \end{align*}$ is the horizontal translation, $\displaystyle \displaystyle \begin{align*} d \end{align*}$ is the vertical translation, and the period is $\displaystyle \displaystyle \begin{align*} \frac{\pi}{b} \end{align*}$.