How can I reboot iPhone without losing old photos and apps?

shreve160 wrote:

I want to know what I can do so that I can have it rebooted and have all my old photos and apps on it

If what you actually meant was "restore", yes, that will delete everything on the device. But you have a backup right? You should be backing your phone up daily. Do not wait for something to go wrong.

How to back up your iPhone, iPad, and iPod touch - Apple Support

Rebooting is simply turning your device off/on. Nothing else happens.

Factory resetting will erase the device completely.

Turn iPhone on or off - Apple Support (CA)

You photos stay on you iPhone and if iCloud is enabled then they will be on ICloud. You shouldn't loose any apps.