Camera2DFollow.cs

using UnityEngine;

namespace UnitySampleAssets._2D 
{

    public class Camera2DFollow : MonoBehaviour
    {

        public Transform target;
        public float damping = 1;
        public float lookAheadFactor = 3;
        public float lookAheadReturnSpeed = 0.5f;
        public float lookAheadMoveThreshold = 0.1f;

        public float yPosRestriction = -1;

        private float offsetZ;
        private Vector3 lastTargetPosition;
        private Vector3 currentVelocity;
        private Vector3 lookAheadPos;

        private float nextTimeToSearch = 0; //point in time we want to search for the player

        // Use this for initialization
        private void Start()
        {
            lastTargetPosition = target.position;
            offsetZ = (transform.position - target.position).z;
            transform.parent = null;
        }

        // Update is called once per frame
        private void Update()
        {

            if (target == null)
            {
                FindPlayer();
                return;
            }
              

            // only update lookahead pos if accelerating or changed direction
            float xMoveDelta = (target.position - lastTargetPosition).x;

            bool updateLookAheadTarget = Mathf.Abs(xMoveDelta) > lookAheadMoveThreshold;

            if (updateLookAheadTarget)
            {
                lookAheadPos = lookAheadFactor*Vector3.right*Mathf.Sign(xMoveDelta);
            }
            else
            {
                lookAheadPos = Vector3.MoveTowards(lookAheadPos, Vector3.zero, Time.deltaTime*lookAheadReturnSpeed);
            }

            Vector3 aheadTargetPos = target.position + lookAheadPos + Vector3.forward*offsetZ;
            Vector3 newPos = Vector3.SmoothDamp(transform.position, aheadTargetPos, ref currentVelocity, damping);

            //clamping the camera
            //

            newPos = new Vector3(newPos.x, Mathf.Clamp(newPos.y, yPosRestriction, Mathf.Infinity), newPos.z);//clamping= use Mathf.Clamp(value we want to clamp, minimum, maximum) 

            //

            transform.position = newPos;

            lastTargetPosition = target.position;
        }

        void FindPlayer()
        {
            if (nextTimeToSearch <= Time.time)//if the point in time that we want to search has passed, or is eaqual to, then we want to fain the player using Gameboject..
            {
                GameObject searchResult = GameObject.FindGameObjectWithTag("Player");
                if (searchResult != null)
                { target = searchResult.transform; }
                nextTimeToSearch = Time.time + 0.5f;
            }
        }

    }
}