Unity 3D Spotlight Fallow controller. Slow the speed down to have the light fall behind. "Lerp Spotlight "

SpotlightController.cs

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

public class SpotlightController : MonoBehaviour {
	
	private Vector3 targetPos;
	public float moveSpeed = 10f;
	public GameObject followTarget;
	public float Xoffset = 0f;
	public float Yoffset = 5f;
	public float Zoffset = -1f;

	// Use this for initialization
	void Start () {
		if (!followTarget) {
			followTarget = GameObject.FindGameObjectWithTag ("Player");
		}
	}
	
	// Update is called once per frame
	void Update () {
		
	}


	void FixedUpdate () {
		if (!followTarget) {
			followTarget = GameObject.FindGameObjectWithTag ("Player");
		} else if (followTarget) {
			targetPos = new Vector3 (followTarget.transform.position.x+Xoffset, followTarget.transform.position.y+Yoffset, followTarget.transform.position.z+Zoffset);
		}

		transform.position = Vector3.Lerp(
			transform.position,											//Position Currently at //FROM
			targetPos, 													//Position Want to be at //TO
			moveSpeed * Time.deltaTime  );								// At what speed

	}
}