I have purchased shares using a brokerage account that I have in my chart of accounts. How do i record the shares so money comes out of that account? TIA

QB is not suited to brokerage tracking, but the best you can do is track the total amount held in the brokerage.

create an asset account named for the brokerage, the payment to brokerage account would use that QB brokerage account as the expense (reason) for the payment.  That will track total invested