The difference between "conserve" and "preserve"

What is the main difference between "conserve" and "preserve"?

conserve energy

conserve water

preserve natural heritage

preserve confidentiality

preserve anonymity

In my impression, "conserve" is "to maintain the status quo".
"Preserve" is "to keep something as it is".
What do you think is the difference between the two words?

con-, against
pre-, past

To preserve jam; to keep it fresh.
To conserve jam; to keep it for future use.

Casiopea, thank you. Your explanation helped me clear my question. :-)
These two words are sometimes very confusing. ;-)