Question

find the exact amplitude, period, and horizontal shift of 2tan(pix+3)

I have amplitude = 2
period = 2

Answer 1

The period of

y = A*tan(Bx+C) + D

is T = pi/B

In your case, B = pi, so the period is

T = pi/pi = 1

Answer 2

For y = A*tan(Bx+C) + D, the value of C determines the horizontal shift

if C is positive, then the graph of y = A*tan(Bx) + D is shifted C units to the left
if C is negative, then the graph of y = A*tan(Bx) + D is shifted C units to the right

Answer 3

so its shifted 3 units to the left?

Answer 4

exactly

Answer 5

thanks!

Answer 6

np