Shoot bullets diagonally

Unity Engine
1

I have a spaceship which fires shots straight ahead. This works so far.

But I want some shots that move diagonally, too. Also I’d like to know how can I rotate the bullets in the appropriate direction. Can someone help, please?

This is the bullet-script:

public float damage = 25f;

float speed;

void Start () {
   speed = 8f;
}

void Update () {
   //get the bullet's current position
   Vector2 position = transform.position;

   //compute the bullet's new position
   position = new Vector2(position.x, position.y + speed * Time.deltaTime);

   //update the bullet's position
   transform.position = position;

   //this is the top right point of the screen
   Vector2 max = Camera.main.ViewportToWorldPoint(new Vector2(1, 1));

   //if the bullet went outside the screen on the top, then destroy the bullet
   if (transform.position.y > max.y) {
   // this is just an object-pool
       PlayerControl.bulletPool.ReturnInstance(gameObject);
   }
}

This is the playershoot-script:

public GameObject bulletPosition01;
public GameObject playerShotsGO;

void Update () {
   //fire bullets when the spacebar is pressed
   if (Input.GetKeyDown ("space")) {
       Shoot();
   }

//function to make the player shoot
public void Shoot () {
   //play the laser sound effect
   SoundManager.PlaySFX (shootAudio);

   //get bullet from object-pool
   GameObject bullet01 = bulletPool.GetInstance (playerShotsGO);
   bullet01.transform.position = bulletPosition01.transform.position;

   bullet01.transform.SetParent (playerShotsGO.transform, true);
}
2

To move the bullets left/right as well as forward, add to the position.x

//compute the bullet's new position
//to go forward left  do something like this
position = new Vector2(position.x - speed * Time.deltaTime, position.y + speed * Time.deltaTime);

//or to go right
position = new Vector2(position.x + speed * Time.deltaTime, position.y + speed * Time.deltaTime);