You should always turn the wheels so the car will not roll further into the road.
It therefore depends on which side of the road you park.
When parking uphill with a curb, turn the back of wheels
In what direction should you turn your wheels when parking uphill without a curb in Texas?
When parking uphill on a street with no curb, the front wheels should be positioned to the right. If there is a curb, the back of the right front wheel should be turned against the curb.
if you parking uphill you turn your wheel towards the curb and if you parking down hill you turn it away
wheels away from curb
Your wheels should point into the curb, so if vehicle rolls it will stop on the curb .
Turn your wheels to the left.
When parking uphill with a curb, turn your wheels away from the curb and set the parking brake. When parking uphill without a curb, turn your wheels towards the edge of the road or shoulder and use the parking brake. When parking downhill with a curb, turn your wheels towards the curb and use the parking brake. When parking downhill without a curb, turn your wheels towards the edge of the road or shoulder and use the parking brake.
right and left
You should point your wheels away from the curb when parking up hill and toward the curb when parking down the hill. You want the vehicle to immediately make contact with the curb if is rolls.
When parking uphill on a street with no curve, you should position your front wheels away from the curb or edge of the road. This is to prevent your vehicle from rolling into traffic if the parking brake fails.
Toward the shoulder. If you are parked on the right side of the road.