More than 1 option when launch script

Is there a way to pass more than one option when running a script? My script has this case: case "$1" in b) backup_start $1 ;; h) _usage ;; *) echo 'Invalid option, -h for help' ;; esac I run my script with: myscript -b backupname But sometimes I would like to run the script with an option with another argument...that I will then use in case inside the script: myscript -b backupname -t mynewarg