what is the minimum of the function f(x) = 3 sin(x − π) + 4

Question

cocoapeebles3 · Answer

I'll fan and medal

tkhunny · Answer

Where is the sine function at its minimum?

cocoapeebles3 · Answer

I don't know remember how to get the minimum in the first place

tkhunny · Answer

You do not need to remember how to get it.  You just need to remember where it is.  Think on a Unit Circle.  What is the maximum vertical displacement?

misty1212 · Answer

HI!!

misty1212 · Answer

do you know the range of sine?

cocoapeebles3 · Answer

isn't the minimum the lowest part that the function reaches on a graph?

tkhunny · Answer

...and where does the sine function do that?

misty1212 · Answer

yes,
but lets take it step by step
now worry about all that muck you are looking at
find the range of sine (if you do not know it, look it up with a quick google search)

cocoapeebles3 · Answer

-1 and 1

misty1212 · Answer

ok so the minimum is ?

cocoapeebles3 · Answer

between those 2 numbers?

misty1212 · Answer

no dear, the minimum is the smallest

cocoapeebles3 · Answer

okay

misty1212 · Answer

so if the range is $[-1,1]$ what is the minimum?

cocoapeebles3 · Answer

I graphed it and I think it's 1

tkhunny · Answer

Up is usually greater.
Down is usually lesser.

cocoapeebles3 · Answer

so it isn't 1?

tkhunny · Answer

Do you honestly believe that is the lowest point of the graph?  Are you sure 0 isn't less than 1?  Maybe -1 might be still less?

cocoapeebles3 · Answer

Umm I chose 1 as the answer and I got it right so....

tkhunny · Answer

It does help if you show your work.  You were asked question by two people and it only becomes clear now that you were answering neither.  Next time, actually answer the questions you are presented.  It will help quite a bit.

cocoapeebles3 · Answer

I did I answered what the range of sine was and then I said I tried graphing it and I got 1 as the minimum but I don't know how to screenshot on my computer

freckles · Answer

I think you were looking at y=3sin(x-pi)+4
when they were asking you about  y=sin(x) instead @cocoapeebles3 
and yes the min of y=sin(x) is -1
so the min of y=3sin(x-pi)+4 is 3(-1)+4

tkhunny · Answer

We were going one piece at a time.  You jumped to the end and didn't tell us you did that.  Just answer the questions, next time.