Shrinithi

But how about a quarter moon? i ve observed it in the west at t start of night.. Am i right ?

Around new moon, it will rise around the same direction as the sun.

at first quarter the moon rise around the direction the sun will rise in 3 month. For example next first quarter this month is the 20th and it will rise where the sun will rise the 20th of November.

Full moon rise where the sun rise 6 month from now.

That is why winter full moon go so hight in the sky.

and last quarter where the sun was rising 3 month ago.

 

It is not precisse but it can help figuring out