PLEASE HELP! what is the equation for the graph shown?

Question

anonymous · Answer

attachment

anonymous · Answer

Please this is my last question and I'm really struggling

perl · Answer

the period of this tan function is 2pi

anonymous · Answer

when submitting an answer for an equation with a variable, be sure to use teh variable form. for example the answer 2n = 4 should be written as n = 2

anonymous · Answer

that si what it says above the question

anonymous · Answer

@jim_thompson5910 think you can help me out with this  one as well?

anonymous · Answer

This one is a little different that the one before @jim_thompson5910

jim_thompson5910 · Answer

the amplitude, phase shift, and vertical shift will be 0

anonymous · Answer

Ok So what equation form would I use?

jim_thompson5910 · Answer

actually, the phase shift isn't zero, let me think that one over

anonymous · Answer

and @perl said teh period is 2pi so that and amplitude is 0

anonymous · Answer

Ok no problem!

anonymous · Answer

@Mertsj think you can help us out?

jim_thompson5910 · Answer

yes, the period is definitely 2pi

anonymous · Answer

Ok I have that down, and the amplitude is definitley 0, correct?

jim_thompson5910 · Answer

normally, tan(0) = 0

but there isn't a root at x = 0

there is a root at x = pi, so things have been shifted over pi units to the right

jim_thompson5910 · Answer

the phase shift is pi

anonymous · Answer

Ok Amplitude = 0 phase shift = pi and period is = 2pi, now how will I construct an equation?

jim_thompson5910 · Answer

y = A*tan(B(x - C)) + D

A = 1 is the amplitude
B = pi/period = pi/2pi = 1/2
C = pi is the phase shift
D = 0 is the vertical shift

anonymous · Answer

I thouht the amplitude was 0 ok. so y = 1 *tan (1/2 ( x - pi) + 0

anonymous · Answer

does that look correct @jim_thompson5910

jim_thompson5910 · Answer

more like y = 1*tan(1/2(x-pi)) + 0

jim_thompson5910 · Answer

you can write that as y = tan( (x-pi)/2 )

anonymous · Answer

ooh ok got it. Thank you does that correlate to what they have written over teh question: when submitting an answer for an equation with a variable, be sure to use teh variable form. for example the answer 2n = 4 should be written as n = 2

jim_thompson5910 · Answer

I'm not 100% sure of what they mean by that particular sentence

jim_thompson5910 · Answer

my guess is that if you can solve for a variable, then do so

in this case, it's a bit cumbersome to solve for x

jim_thompson5910 · Answer

I'd just leave it as y = tan( (x-pi)/2 )

anonymous · Answer

ok thank you!

jim_thompson5910 · Answer

np

anonymous · Answer

x=100