Posted by **sophie** on Friday, May 29, 2009 at 6:03pm.

Write an equation of the tangent function with period (3π)/8, phase shift -π/5, and vertical shift -2.

a. y=tan((8x)/3 - (8π)/15) -2

b. y=tan((8x)/3 + (8π)/15) -2

c. y=tan((16x)/3 +(3π)/80) -2

d. y=tan((8x)/3 - (3π)/40) -2

I think it is A... or B?

- Math -
**Reiny**, Friday, May 29, 2009 at 7:28pm
personally, I prefer to write trig functions with the k factor outside the bracket. That way the sphase shift is immediately obvious.

so my first choice would have been

y = tan (8/3)(x + π/5) - 2

which after expanding, is the same as B

- Math -
**sophie**, Friday, May 29, 2009 at 7:38pm
thanks

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