This is just a nice short and simple script that I sometimes use to make the camera in Unity smoothly follow an object. Just add this script to a orthographic camera and select a target and follow speed in the inspector.

The Code

using UnityEngine;

public class CameraFollow2D : MonoBehaviour
public float FollowSpeed = 2f;
public Transform Target;

    private void Update()
        Vector3 newPosition = Target.position;
        newPosition.z = -10;
        transform.position = Vector3.Slerp(transform.position, newPosition, FollowSpeed * Time.deltaTime);