Question

I need help with this The graph is the one drawn with a dashed line

Answer 1

hope you get it right

Explanation:

Answer 2

`y=\sin \mleft((1)/(4)x\mright)-3`

EXPLANATION

The sine function has the form,

`y=A\sin (Bx)+C`

Where A is the amplitude, C is the vertical shift, and B is related with the period,

`T=(2\pi)/(B)`

We can obtain all this information from the graph,

The period is 8π, so B is,

`B=(2\pi)/(T)=(2\pi)/(8\pi)=(1)/(4)`

The amplitude is 1 and the function is shifted 3 units down, so C = -3.

Hence, the equation is,

`y=\sin \mleft((1)/(4)x\mright)-3`