How to move 2D textures?

Hi. I rewrote a code that was made for moving 3D objects and I want to move 2D Textures. It doesn't seem wrong but I don't think it would work. So what's the problem with it?

(Edit: It's not he code I rewrote but there's a problem with this. So the question is the same.)

 using UnityEngine;
 using System.Collections;
 
 public class CR_Drag : MonoBehaviour
 {
 
     [SerializeField]
     float _horizontalLimit = 2.5f, _verticalLimit = 2.5f, dragSpeed = 0.1f;
     Transform cachedTransform;
     Vector3 startingPos;
 
     void Start()
     {
         //Make reference to transform
         cachedTransform = transform;
 
         //Save starting position
         startingPos = cachedTransform.position;
     }
 
     // Update is called once per frame
     void Update()
     {
         if (Input.touchCount > 0)
         {
             Vector2 deltaPosition = Input.GetTouch(0).deltaPosition;
 
             //Switch through touch events
             switch (Input.GetTouch(0).phase)
             {
                 case TouchPhase.Began:
                     break;
                 case TouchPhase.Moved:
                     DragObject(deltaPosition);
                     break;
                 case TouchPhase.Ended:
                     break;
             }
 
         }
     }
 
     /// <summary>
     /// Drags the object.
     /// </summary>
     /// <param name='deltaPosition'>
     /// Delta position.
     /// </param>
     void DragObject(Vector2 deltaPosition)
     {
         cachedTransform.position = new Vector3(Mathf.Clamp((deltaPosition.x * dragSpeed) + cachedTransform.position.x,
 startingPos.x - _horizontalLimit, startingPos.x + _horizontalLimit),
 Mathf.Clamp((deltaPosition.y * dragSpeed) + cachedTransform.position.y,
 startingPos.y - _verticalLimit, startingPos.y + _verticalLimit),
 cachedTransform.position.z);
     }
 }