Note: You must first add the shared mailbox to your Outlook. Learn how by clicking How to add a shared 365 mailbox to your outlook.
Send mail from the shared mailbox
Open Outlook.
Choose New Email.
If you don't see the From field at the top of your message, choose Options > From.
Click From in the message, and change to the shared email address. If you don't see your shared email address, choose Other email address and then type in the shared email address.
Choose OK.
Finish typing your message and then choose Send.
From now on when you want to send a message from your shared mailbox, the address will be available in your From drop down list.
Whenever you send a message from your shared mailbox, your recipients will only see the shared email address in the message.
Reply to mail sent to the shared mailbox
Open Outlook.
Open the email message you want to reply to.
From field at the top of your message, you should see the name of your shared mailbox. If you don't, choose the From dropdown box and choose your shared mailbox.
Finish typing your message and then choose Send.
When you want to send a message from your shared mailbox, the address will be available in your From drop down list.
Whenever you send a message from your shared mailbox, your recipients will only see the shared email address in the message.