CameaFollow.cs

using System.Collections;
using System.Collections.Generic;
using UnityEngine;

public class CameraFollow : MonoBehaviour {

    public GameObject target;

	// Use this for initialization
	void Start () {

        target = GameObject.Find("Player");
		
	}
	
	// Update is called once per frame
	void Update () {

        Vector3 velocity = Vector3.zero;

        Vector3 forward = target.transform.forward * 10.0f;
        
        //Posicion objetivo

        Vector3 needPos = target.transform.position - forward;
        
        //SmoothDamp recibe la posicion actual de la camara, la posicion objetivo, la velocidad, y el smoothTime

        transform.position = Vector3.SmoothDamp ( transform.position, needPos, ref velocity, 0.08f );

        transform.position = new Vector3( Mathf.Clamp(transform.position.x, 121, 445), Mathf.Clamp(transform.position.y, 115, 130), -20);

        transform.rotation = target.transform.rotation;
		
	}
}