Question

State the domain, amplitude, phase shift and vertical shift.?

a) y= 2sin(x-pi)
b) y= -cos3x+1
c) y= tan1/2x
d) y=cot3x

Answer 1

Step 1:

(a) The function

General form of the sine function ,

where The amplitude

Period

Vertical shift

Phase shift(horizontal shift).

Step 2:

Compare with .

Amplitude

Period

Vertical shift

Phase shift

Negative phase shift means the graph has moved to the right.

Domain is all real numbers.

Solution:

Domain is all real numbers.

Amplitude, phase shift .

Answer 2

Step 1:

(b) The function

General form of the sine function ,

where The amplitude

Period

Vertical shift

Phase shift(horizontal shift).

Step 2:

Compare with .

Amplitude

Vertical shift

Phase shift .

Domain is all real numbers.

Solution:

Domain is all real numbers.

Amplitude, vertical shift .