Northern Hemisphere.

Longest = Summer Solstice = June 21ish

Shortest = Winter Solstice = December 20ish

Middle-est = Vernal Equinox = March 21ish

Other Middle-est = Autumnal Equinox = September 21ish

Where is sin(x) the Greatest? The Least? Middle? What is the period of sin(x)? What is it's amplitude?

Compare y = sin(x) with y = A + sin(x)

Compare y = sin(x) with y = sin(x - B)

Compare y = sin(x) with y = C*sin(x)

Compare y = sin(x) with y = sin(D*x)