Question

How do you graph `g(x) = -2sin(3x + π/4) + 2`?

Answer 1

See the characteristics in the explanation and graph.

Explanation:

`g ( x ) = - 2 sin ( 3x + pi/4 ) +2`

Graph characteristics{

Wave is sinusoidal.

Amplitude: `abs ( - 2 ) = 2`

Period: `(2pi)/3`

Horizontal phase shift: `(-pi/4)/3= -1/12pi`

Vertical shift: 2

Axis of the wave: g = 2

Now, see the graph depicting all these characteristics.
graph{(y+2 sin (3x + pi/4 ) - 2)(y-2+0x)(y+0x)(y-4 +0x)(x-1/3pi+0.0001y)(x+1/3pi+0.0001y)=0[-2 2 -0.5 5]}