Question

Find a possible formula for the following graph. Let P = 2 and Q = 4.
http://www.webassign.net/hgmcalc/1-5-24fig_alt.gif

Answer 1

looks as a general sine graph shifted on y scale ...!!

Answer 2

is x in radians or degrees..??

Answer 3

4sin(pi/3*x)+2

Answer 4

Not quite. The amplitude is 2.

The coefficient of the variable is 2pi/T where T is the period of the graph. In this case, it goes through a complete cycle in a period of 8. So
\[y = 2\sin (\frac{ \pi }{ 4}) + 2\]

Answer 5

Whoops - forgot the x

\[y = 2\sin (\frac{ \pi }{ 4}x) + 2\]

Answer 6

Thank you!