How do you graph and list the amplitude, period, phase shift for #y=-cos2x-5#?

1 Answer
Mar 19, 2018

Answer:

Amplitude 1
Period: #\pi#
Shift down 5
increment: #pi/4#

Explanation:

The period of #cosx# is #0 to 2pi#, so I try to find the starting point and ending point.

Start: #2x = 0 to x = 0#
End: #2x = 2pi to x = pi#
Period: #End - Start to pi - 0 = pi#
Increment: #(Period) / 4 to pi/4#
#0, pi/4, pi/2, (3pi)/4, pi#
#-1cosx - 5#
1 is the Amplitude, Shift down 5 units
First graph is #cos(2x)#
graph{cos(2x) [-9.08, 10.92, -9.04, 0.96]}

Second graph is #-cos(2x)#
graph{-cos(2x) [-9.08, 10.92, -9.04, 0.96]}

Third graph is #-cos(2x) - 5#
graph{-cos(2x) - 5 [-9.08, 10.92, -9.04, 0.96]}