Modern day presidents use the State of the Union to lay out their policies and garner public support for them. Also, presidents veto bills they do not agree with.
the State of the Union Address
I believe you are referring to the "State of the Union Address." But presidents are always trying to influence congress, and they often give speeches and policy addresses about the priorities they would like to see turned into laws.
The president, in the beginning of each congress, gives ideas to legislation in the state of the union address. In a more simple way, his job is to address congress about what needs to happen and suggest laws.
As a change in the number of representatives (in Congress) directly changes the amount of power a state has in the House of Representatives, such a change would affect that state's power in getting legislation passed.
The President can veto Federal bills. The Governor of a state can veto state bills from that state.
State of the Union Address
State of the Union Address
The inaugueral address is given by the president to congress,
In the annual State of the Union Address, the president presents goals for the legislative.
president
Yes. In the Constitution, an annual state of the union address is explicitly listed as one of the president's job duties.
The Speaker of the House traditionally introduces the President at the State of the Union address.