unity camera follow code example

Example 1: camera follow

public Transform player;

    public Vector3 offset;

    void LateUpdate()
    {
        transform.position = player.position + offset;
    }

Example 2: unity camera follow

using UnityEngine;

public class Level3CameraFollow : MonoBehaviour
{
    // camera will follow this object
    public Transform Target;
    //camera transform
    public Transform camTransform;
    // offset between camera and target
    public Vector3 Offset;
    // change this value to get desired smoothness
    public float SmoothTime = 0.3f;

    // This value will change at the runtime depending on target movement. Initialize with zero vector.
    private Vector3 velocity = Vector3.zero;

    private void Start()
    {
        Offset = camTransform.position - Target.position;
    }

    private void LateUpdate()
    {
        // update position
        Vector3 targetPosition = Target.position + Offset;
        camTransform.position = Vector3.SmoothDamp(transform.position, targetPosition, ref velocity, SmoothTime);

        // update rotation
        transform.LookAt(Target);
    }
}

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Misc Example