What is the amplitude, period, phase shift and vertical displacement of y=sinx-1?

1 Answer
Dec 17, 2017

Amplitude = 1
Period = 2pi
Phase shift = 0
Vertical Displacement = -1

Explanation:

Consider this skeletal equation:

y = a*sin(bx - c) + d

From y = sin(x) - 1, we now that

  • a = 1
  • b = 1
  • c = 0
  • d = -1

The a value is basically the amplitude , which is 1 here.

Since

"period" = (2pi) / b

and the b value from the equation is 1, you have

"period" = (2pi) / 1 => "period" = 2pi

^ (use 2pi if the equation is cos, sin, csc, or sec; use pi only if the equation is tan, or cot)

Since the c value is 0, there is no phase shift (left or right).

Finally, the d value is -1, which means the vertical displacement is -1 (the graph shifts down 1).