Question

Please help I don't understand how to do this. The equation is
`g(x) = 3 \sin(x + \pi) + 3`

Answer 1

we have the function

g(x)=3sin(x+pi)+3

Part 1

Amplitude

The Amplitude is the height from the center line to the peak (or to the trough)

in this problem

the amplitude is 3

Part 2

Period

The Period goes from one peak to the next (or from any point to the next matching point)

In this problem

Period=2pi

Part 3

Frequency

Is the inverse of period

so

frequency=1/(2pi)

Part 4

phase shift is pi (or -pi to the left)

Part 5

vertical translation is 3 up

Part 6

see the attached figure