I can't connect to my HP Photosmart C4280 printer. Could my printer be outdated?
That is a question for HP, not Microsoft. HP supports your HP product - even the software and drivers.
Getting to the point where you select the operating system for which you wish to download drivers for the HP PhotoSmart C4280 device (<-- link), I see that a driver/software is listed for Windows 8:
So I suggest you download that, save it to your computer, reboot, right-click on it and RUN AS ADMINISTRATOR. Should be good to go.
If you really just want a direct link to the executable to download: