Given the equation y=4tan(7x−56)The period is:

Question

Given the equation The period is:   

The horizontal shift is:____   units to the _____

Answer 1

To find the period: -π/2 < 7x - 56 < π/2 (one copy of the graph of y = tanx lies between -π/2 and π/2)

-π/2 + 56 < 7x < π/2 + 56

-π/14 + 8 < x < π/14 + 8

Period = (π/14 + 8) - (-π/14 + 8) = π/7

Answer 2

y = A tan (B (x - C)) + D

stretch is A

period is 2π / B

phase shift is C

vertical shift is D

y = 4 tan (7 (x - 8))