SOLUTION: In my class we are graphing tangent functions and I missed the past two days. In the equation... y=1/2tan2(x-5π/6)+1 I know the period= π/2 Horizontal asymptote=

Algebra.Com
Question 695318: In my class we are graphing tangent functions and I missed the past two days.
In the equation... y=1/2tan2(x-5π/6)+1
I know the period= π/2
Horizontal asymptote= y=1
Steepness= 1/2
Phase shift = -5π/6
Now for my asymptote I ended up with ananswer of 13π/12+π/2k,kei. I do not feel my math is correct and wanted to know if that was the true answer.

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
y=1/2tan2(x-5π/6)+1
Equation for tan function:
y=tan(Bx-C), period=π/B, phase shift=C/B
Rewrite given equation in this form:
y=1/2tan(2x-10π/6)+1
B=2
period=π/B=π/2
1/4 period=π/8=3π/24
phase shift=C/B=(10π/6)/2=5π/6 (to the right)
vertical asymptote at x=13π/12+2πk,k=any integer (function undefined at this point)
horizontal asymptotes: none

RELATED QUESTIONS

Hi and thank you in advanced for your help. I'm in a pre-algebra class and I missed class (answered by Edwin McCravy)
I am taking college algebra, we are in the 1st week of class and have not covered how to... (answered by Alan3354)
In class we learned a lesson on exponential functions, and all the problems we did solved (answered by josgarithmetic)
x= 1, 4, 5, 6, 8 y= _, 18, 23, 28, 38 I have to solve for y. I do not the equation (answered by khwang)
Sorry I gave the wrong problem in the previous question I submitted. That was on elf then (answered by josgarithmetic)
Okay so I'm learning about rational functions in my 9th grade algebra class. I'm having... (answered by richwmiller)
Can you please walk me through the solution.... I have seen examples, but I missed class... (answered by ankor@dixie-net.com)
hey i am studying for my final and i am stuck on the quadratic formula, i have looked... (answered by ankor@dixie-net.com)
How do I solve this? In my math class we use the TI-84 graphing calculator.... (answered by jsmallt9)