Question

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?

Answer 1

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

Answer 2

thanks