The President has the opportunity to establish an agenda for Congress by advocating for specific policies. Presidents also have the ability to use their position to take their case directly to the American people, which can impact public opinion, and consequently, impact Congress.
the president cannot introduce a bill in Congress. the president can only recommend and persuade members of his party in Congress to introduce the legislation he desires
No, but he can recommend legislation.
Yes, it is true that a sponsor is a member of Congress who is willing to introduce and back the legislation.
Congress passes the legislation while the president can sign or veto it.
There are two ways in which the President shapes laws. The President is the head of his political party, and he therefore can direct members of his party to introduce legislation in Congress that will advance his policies. And if Congress passes laws that he doesn't like, he can veto them (although with enough votes, Congress can override his veto).
In the United States citizens can petition Congress for legislation through representatives. Furthermore, in theory they (or anyone) can directly introduce propose a draft legislation also.
No- but he can ask somebody in Congress to introduce a bill for him .
It is not generally known, but any citizen including the president can present bills or ideas for bills to congress. It may not be easy, and ideas perceived as harebrained won't get far. If you are a US citizen then there are US senators and representatives who are there for you. Give them your ideas; that's what representation means. The president has an inside track and can find congress persons to sponsor and/or coauthor legislation that he is interested in, but that should not keep you from voicing your ideas.
Bills must be introduced by members of Congress (and, in the case of bills requiring expenditures, by members of the House of Representatives). The President must persuade a member of Congress to introduce any legislation that the President wants.
He/she can veto any legislation that congress passes.
Congress can pass new legislation
an override
No, he needs most of the rest of Congress to approve it first.
Only members of Congress con actively introduce bills.