Question

The curve above is the graph of a sinusoidal function. It goes through the point (8,1). Find a sinusoidal function that matches the given graph. If needed, you can enter as pi in your answer.

Answer 1

looks like the graph of \(y=-\cos(x)\) but i cannot see from the picture what the period is

Answer 2

the period is 24

Answer 3

I did the last one. I'm going to recommend VERY STRONGLY that we4 see your work on this one.

Answer 4

doesn't look like it is 24

Answer 5

would it be 2pi/x = 24?

Answer 6

it is not 24

Answer 7

Go peak to peak.

Answer 8

i know there is a 24 labelled on the picture, but that does not mean it is 24
do what @tkhunny said

Answer 9

ok. so peak to peak is 16. so 2pi/b =16... b= pi/8

Answer 10

ah it is 16, yes

Answer 11

It's VERY confusing when you use the same variable for two different things.

If your function is y = f(x), don't use 'y' of 'x' to do anything else until the problem is done.

Thank you for switching to 'b' on the second pass.

Answer 12

and so yes, \(b =\frac{\pi}{8}\)

Answer 13

so the answer is -cos(pi/8)x. Thank you very much!

Answer 14

the \(x\) should be inside the parentheses, but yes, that is it

Answer 15

\[y=-\cos (\frac{ \pi }{ 8 }x)\]

@szesch

Answer 16

thank you