Camera Follow for top down 2d shooter game

//Relatively new to C# and unity, can you guys analyse what I’ve done wrong with my script, when playing the game the camera doesn’t seem to follow the player…? Thank you.

public class cameraFollow : MonoBehaviour {

private Vector3 playerTransform;
private float cameraTransformX;
private float cameraTransformY;
private Vector3 cameraVector;
private Vector3 playerVector;
public float cameraSpeed;

void Update () 
{
	playerTransform = GameObject.Find ("Player").transform.position;
	cameraTransformX = transform.position.x;
	cameraTransformY = transform.position.y;

	cameraVector = new Vector3 (cameraTransformX, cameraTransformY, -10);
	playerVector = new Vector3 (playerTransform.x, playerTransform.y, -10);

	Vector3.Lerp (cameraVector, playerVector, cameraSpeed * Time.deltaTime);

}

This code can be simplified, but the main problem is that you are not assigning the results from the Vector3.Lerp() back to the transform of the camera. It should be:

 transform.position =  Vector3.Lerp (cameraVector, playerVector, cameraSpeed * Time.deltaTime);

In addition, you should be doing GameObject.Find() inside of Update(). Create a class instance variable at the top of the file and initialize it in Start(), or if the player object can change during play, tag the player and use GameObject.FindWithTag().

i think

 cameraTransformX = transform.position.x;
cameraTransformY = transform.position.y;

Should Be 

cameraTransformX = playerTransform.transform.position.x
cameraTransformZ = playerTransform.transform.position.z