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

Question

asked Feb 24, 2023 69.8k views

2 Answers

Raphaelrk · Answer 1 · 2023-02-28T23:44:40+0000

ANSWER

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

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,

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