sidescroller: flipping sides of player based on direction (C#)

I have a simple side-scroller with a capsule player and a projectile spawn on the right side of the player. The game works fine, allowing me to shoot projectiles to the right. The only problem: I can only shoot in one direction. How can I make the player face the direction it is moving, so I can fire projectiles both left and right. This is my current script so far that is attached to my player:

using UnityEngine;

public class Player : MonoBehaviour // The class was missing, I improvised (Berenger)
{	
    public float moveSpeed = 10f;
    public float rotateSpeed = 5f;

    // Update is called once per frame
    void Update () 
    {
        float moveForward = moveSpeed * Time.smoothDeltaTime * Input.GetAxis("Vertical");
        float moveleft = moveSpeed * Time.smoothDeltaTime * Input.GetAxis("Horizontal");
        float rotate = rotateSpeed * Time.smoothDeltaTime * Input.GetAxis("Horizontal");
	
        transform.Translate(Vector3.forward * moveForward);
        transform.Translate(Vector3.back * moveleft);
	
        if(Input.GetKeyDown(KeyCode.Space))
            rigidbody.AddForce(Vector3.up * 500);	
    }
}

You’ve got several details you need to improve.

You need to move the character only whe there is an input. To do so, you check the value of the axes.

float h = Input.GetAxis( "Horizontal" );

// Apparently, product cost less than Abs, even if you would need hundreds of player
// to see a difference. And it takes less letters to write !
// PS : This is totally empirical
if( h*h > Mathf.Epsilon ) // Use of epsilon because of floats
{
    Vector3 movement = new Vector3( h * Time.deltaTime, 0f, 0f );
    // Apply movement
}

And your character has a rigidbody, you should use it to move or you won’t have any collisions.

About the facing, you can use transform.LookAt, Quaternion.LOokRotation or transform.forward = …