When I stop the car vibrates.
The most likely problem you are describing is the front brake rotors are warped. The rotors would need to be replaced with the brake pads at the same time. I would recommend the brakes and front end be checked first by a qualified mechanic to see if the front end or tires have any problems and the brakes need additional repairs due to the vibration. I recommend to have a qualified mechanic check it out such as one from YourMechanic.
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