So I'm trying to wrap my head about Graphing Cos and Sin but I have several questions about graphing. I know that the Formula is
$$Y= A \sin (t \pm h) + K$$
where $A$ is Amplitude , $t$ is Period, $h$ is horizontal shift, $k$ is the mid line.
I have the following data...
I know for fact the following...
Highest Point $= 73$
Lowest point $= 43$
Amplitude $= (73 - 43) = 30$
Midline $= (A/2 + 43) = 30/2 + 43 = 58$
Now the problem is putting all the information together...
$y = 15 \cos (t \pm h) + 58$
my question is figuring the Period and Horizontal shift?
I think $t$ (period), is the number of cycles between $0$ and $24$ so it's $24/1$
$t= 24/1 = 24$
but the graph shrinks?
I'm having trouble understanding how to obtain t- period and h- horizontal shift.
Most of the graphs on the internet use $2\pi/$(# of intervals).
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