Wireless Access Point

This is probably a basic question, but I have not been able to find an
answer for it.

Current situation - Wireless Router on Second Floor with Wireless USB
Adapter in Basement. Getting slow speeds.

Thoughts - I am looking at putting a powered Wireless Access Point in
the basement to increase the speed of the connection.

Questions -

Do Wireless Access Points communicate wirelessly with Routers?

Will the Access Point being plugged into the wall increase its power,
therefore its speed to the router over what I am currently getting?

Will the connection be weaker because I would be adding an additional
wireless leg to the connection between the computer and the router?

Any help or thoughts would be appreciated. I am trying to find the best
and cheapest option for wireless before I start looking at wither the
basement needs to be hardwired into the network.

Thank in advance


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