Question

@dpainc, Help here please?

Answer 1

if i can...

Answer 2

Thank you:)

Answer 3

Is this equation correct?

y = 3tan(2x-60 ) - 5

Answer 4

Its y = 3tan(2x+60 ) - 5

Answer 5

the - 5 is correct, the -60 should be a + 60.

Answer 6

Yes, I just corrected that:)

Answer 7

oh, you got it before i answered.....

Answer 8

So does that answer the question?

Answer 9

lol, I know:)

Answer 10

what am i thinking now?

Answer 11

lol:)

Answer 12

So that answers the question right?

Answer 13

yeah, that's correct. you're good with this trig stuff... :)

Answer 14

Its people in OS like you, who helped me alot. But there are soooo many things I sitll need practice with

Answer 15

Can you help me with one more?

Answer 16

yup... sure... but i will be going back and forth with another post... hope you don't mind...

Answer 17

Sure:). Here is the new question.

Answer 18

hmmm... for that first one, i know it's translated 3 units up (if you solve for y)

Answer 19

the period for the first one is also shorter than the second one.... y=tanx has a period of pi(180 degrees)

Answer 20

and instead of increasing between vertical asymptotes, they will be decreasing...
lemme check with wolf...

Answer 21

The -3 after y in the LHS troubles me

Answer 22

What happens there?

Answer 23

hmmm... looks like the last staement i made was incorrect. they're both increasing.

Answer 24

you can always make it "y = " by adding 3 to both sides in that first equation...

Answer 25

that's how i know it is move 3 units up...

Answer 26

http://www.wolframalpha.com/input/?i=y+%3D+tan%28x%29%2C+y+%3D+-tan%28-2x+%2B+180%29+%2B+3

Answer 27

so it becomes y = -tan( -2x + 180°)+3

Answer 28

Like that?

Answer 29

yes.

Answer 30

Oh. lol this time you beat me first

Answer 31

now, the reason i thought it was going to be decreasing was because of the -tan... when you take "-" of something, that just reflects the graph over the x axis...

Answer 32

There is also a reflection in the y-axis right?

Answer 33

omg, you beat me again:) lol

Answer 34

i'm getting faster.

Answer 35

lol. You are!

Answer 36

yes, there is a reflection over the y-axis... and that came from the "-"x. if it had the same sign as the y=tan(x) then i would've been correct. i missed that one.

Answer 37

it's that -2 is the culprit.

Answer 38

Ok. so There are 5 transformations taking place, correct?

Answer 39

No, I mean 4

Answer 40

y = Asin(Bx + C) + D.
are these the type of equations you are looking at now?

Answer 41

Yes

Answer 42

lemme count...

Answer 43

the transformation steps are the a,b,c and d values. so 4

Answer 44

yup... i counted 4

Answer 45

Ok, so for a, there is a -, so there is a reflection in the yaxis

Answer 46

oh yeah... each of those parameters does something(transformation) to the graph...

Answer 47

for b, it changes the periods of the graph

Answer 48

no, a reflects over the x axis.

Answer 49

b not only changes the period but if it is negative, it reflects it over the y-axis.

Answer 50

OHH! okok that makes sense. sorry

Answer 51

and finally, d vertical translation up by 3 units

Answer 52

that's what d does...

Answer 53

Thats how I show the difference right>?

Answer 54

yes.... the difference between y-3 = -tan(-2x + 180) and y = tanx.

Answer 55

So, You are such a great teacher, I specifically look for you!
Other people answer good answer but only they can understand it. I like that you explain it so that everybody understands:)

Answer 56

Thanks dpainc:), Btw, congrats in getting to level 61.

Answer 57

this is the reason why it is a good idea to just study what A, B, C, and D does to a graph of sinx, cosx, tanx, etc. if you know these basic trig graphs, you'll get a good idea of a complicated looking equation's graph without a graphing calculator.

Answer 58

yw. remember what i said.... you will need this when you take calculus... you're well on your way grasshopper.

Answer 59

Oh @dpainc, Can you check this answer?

1. State domain, range, period, vertical asymptotes, zeros, symmetry and y-intercept of: y = -2tan(3x + 180°) + 3.

Answer

General form of the function: -2tan(3(x-(-pi/3)))+3
• Domain: {x | all real numbers except -30 degrees +60n}
• Range: {y | y is an element or R}
• Period: pi/b, where b = 3. Therefore, pi/3
• Vertical Asymptotes: -0.5 and 0.5. OR –pi/6 and pi/6.
• Zeroes: x = …, -1, 0, 1, 2, … (rounding off the values)
• Symmetry: Since tan(-x) = - tan(x) then tan (x) is an odd function and its graph is symmetric with respect the origin(0, 3).
• Y-intercept: We set x = 0 so in this case -2tan(3(0-(-pi/3)))+3 = y = 3

Answer 60

Vertical Asymptotes: -0.5 and 0.5. OR –pi/6 and pi/6.

which is it?

Answer 61

They are the same thing arent they?

Answer 62

if you calculate them, -0.5 = -pi/6 and 0.5 = pi/6

Answer 63

no they're not... but if you're approximating i guess that's true but there are infinitely many vertical asymptotes

Answer 64

sorry man, i gotta leave. i'll check on this later ok?

Answer 65

Aww man, but its almost done? I have to submit this in 10 minutes:(