Need help with Algebra 2!!

What are the amplitude, period, and midline of f(x) = 5 sin(x − π) + 3?

A. amplitude: 5; period: π; midline: y = 3

B. amplitude: 3; period: pi/2; midline: y = 5

C. amplitude: 3; period: pi/4; midline: y = 5

D. amplitude: 5; period: 2π; midline: y = 3

Question

Need help with Algebra 2!!

What are the amplitude, period, and midline of f(x) = 5 sin(x − π) + 3?

A. amplitude: 5; period: π; midline: y = 3

B. amplitude: 3; period: pi/2; midline: y = 5

C. amplitude: 3; period: pi/4; midline: y = 5

D. amplitude: 5; period: 2π; midline: y = 3

anonymous · Answer

@SolomonZelman Think you could help me out with this one too?

solomonzelman · Answer

I haven't done these in a while. I am replying instead of messaging, so that I can get a notification and view this later too. (you are probably thinking I am typing the answer, but well... -:(   )

solomonzelman · Answer

Sorry

anonymous · Answer

It's fine! lol Thanks anyways though! (:

solomonzelman · Answer

@ganeshie8

ganeshie8 · Answer

$$ f(x) = 5 \sin(x − π) + 3$$

ganeshie8 · Answer

just keep in mind that $-1 \le  \sin (x)  \le 1$

ganeshie8 · Answer

that gives :  $-5 \le  5\sin (x)  \le 5$

ganeshie8 · Answer

so this wave goes swings up by 5 units, down by 5 units forever..

ganeshie8 · Answer

the $+3$, shifts the wave up by 3 units as well

ganeshie8 · Answer

so the midline is  : y = 3

ganeshie8 · Answer

the amplitude is :   5

ganeshie8 · Answer

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