Amplitude, Period, Vertical Shift, and Phase Shift for Sine and Cosine Functions

amp = 2

Give the amplitude for y=-2sin(3x-π/2).

amp = 1

Give the amplitude for y=cos(x/2 + π) - 5.

7

Give the amplitude for y= -7cos(2x+π) - 9.

7

Give the amplitude for y= -7sin(4x-π) + 3.

period = (2π)/3

Give the period for y=-2sin(3x-π/2).

period = 4π

Give the period for y=cos(x/2 + π) - 5.

π

Give the period for y= -7cos(2x+π) - 9.

π/2

Give the period for y= -7sin(4x-π) + 3.

phase shift = -2π

Give the phase shift for y=cos(x/2 + π) - 5.

phase shift = π/6

Give the phase shift for y=-2sin(3x-π/2).

-π/2

Give the phase shift for y= -7cos(2x+π) - 9.

π/4

Give the phase shift for y= -7sin(4x-π) + 3.

vertical shift = 0 (or no vertical shift)

Give the vertical shift for y=-2sin(3x-π/2).

vertical shift = -5

Give the vertical shift for y=cos(x/2 + π) - 5.

-9

Give the vertical shift for y= -7cos(2x+π) - 9.

3

Give the vertical shift for y= -7sin(4x-π) + 3.