What function best represents a sine function with an amplitude of 4, a period of pi over 6, and a midline at y = −2?
f(x) = −2 sin(x − pi over 6) + 4

f(x) = 4 sin 12x − 2

f(x) = 4 sin(x − pi over 6) − 2

f(x) = −2 sin 12x + 4

Question

What function best represents a sine function with an amplitude of 4, a period of pi over 6, and a midline at y = −2? 
f(x) = −2 sin(x − pi over 6) + 4 

 f(x) = 4 sin 12x − 2 

 f(x) = 4 sin(x − pi over 6) − 2 

 f(x) = −2 sin 12x + 4

anonymous · Answer

@ganeshie8

ganeshie8 · Answer

compare the options with below :
$$\large f(x) = A\sin(Bx - C) + D$$

ganeshie8 · Answer

$|A|$ = Amplitude

$\large  \frac{2\pi}{B}$ = Period

ganeshie8 · Answer

just from the info about amplitude, you can eliminate few options

anonymous · Answer

Sorry, had to step away from the computer

anonymous · Answer

A=4 so choice C

ganeshie8 · Answer

choice C has correct amplitude,
but it doesnt have the correct period