Rear backup camera

This issue sounds like it could be related to a problem with the ground connection or the reverse gear sensor in your 2013 Hyundai Elantra. The radio may be losing power when the reverse gear is engaged and the car is on a hill, causing it to cut off and then come back on. Here are some things you can try:

1. Check the ground connection for the radio. Make sure it is tight and securely connected.
2. Check the wiring for the reverse gear sensor. Make sure it is properly connected and not damaged.
3. Inspect the reverse gear sensor itself to make sure it is not malfunctioning.
4. Check the voltage of the battery, low voltage can cause the system to shut off
5. If none of these solutions work, it is recommended to have your vehicle inspected by a professional mechanic.

It is also important to have a professional diagnose this issue as it could be caused by multiple other electrical issues and a proper diagnosis is needed to find the root cause and prevent further damage to your vehicle.

How to Reverse the Image on Backup Camera eHow

EVERYTHING YOU NEED TO KNOW ABOUT REAR VIEW CAMERAS

After installing a backup camera on your vehicle, you need to reverse the image so that the image on the screen matches that of your rear-view mirror. The orientation must match so that the driver doesn't get confused with two conflicting images. The nature of the camera's technology is that its image will be recorded un-reflected, but the mirror will display a reflected image. Fortunately, the engineers who designed back-up cameras thought of this and created simple controls for you to change the orientation.

Read more : http://www.ehow.com/how_6641139_reverse-image-backup-camera.html

When put in reverse the image is up side down
The links above may or may not help. Good luck.
http://blog.qualitymobilevideo.com/backup-camera-system-installation-guide-trigger-wire/

Ford Reverse Backup Sensor not working - YouTube

? 2:11
https://www.youtube.com/watch?v=uf4RbK9f1ko
Oct 26, 2013 - Uploaded by MOSES CALI
Ford Expedition. Parking sensor not working. Diagnoses works for most car makers.

Troubleshooting Backup Sensors - YouTube

? 8:30
https://www.youtube.com/watch?v=_ZLutliglds
Aug 15, 2014 - Uploaded by DeathScouter
Troubleshooting and replacing backup sensors on a 2006 Ford F250 truck, but information is ... Offered up an aftermarket back up camera for $150 in place of repairing the factory system. ...The backup alarm did not work.

Either the camera is bogus or power is not getting to the camera when you throw the car in to reverse. Check the power line tap off for the camera- may be by the reverse backup lights..

just use the wire to the backup lights

By backup I assume that you mean reversing sensors. Look on the rear bumper (fender) of the car you should see a number of small round disks embedded in the plastic (same colour as paintwork).

This should be them.

If they are there try reversing over the kerb or a small step (just less than max clearance height) the sensors will normally pick this up as you get within about a foot or so and the warning beeper will sound.

Alterately put a large pillow behind the car and reverse toward it. If you hit it without a warning beeper going off you don't have the reverse sensors or they are not working.

It is very simple to replace the backup sensor. It is a good idea to put on safety glasses or goggles to keep dirt out of your eyes. The easiest way is to lay down under the back of the vehicle and reach up behind the the rear bumper and disconnect the pigtail electrical plug from the suspected faulty sensor(s). Then simply remove the sensor by pushing from inside of bumper toward the rear of the vehicle. If you are not sure which sensor is bad, and if only one sensor is bad, you should check one sensor at a time. And then with the good sensor in place you could test each sensor to see if the vehicle beeps while reversing towards a harmless object (like a traffic cone). Repeat this procedure with the other three sensors and leave the good sensor in place when the back up sensor system works correctly. Hopefully, this will FixYa!

it will need to be scanned, sound like one of your sensors isn't working, a scan should tell which one.

I would buy a Chilton Repair Manual from a local parts store and a digital ohm meter. If the chilton doesn't have the ohms for all the sensors then research online for the specs on the sensor. It sound like a wiring issue or relay.