Version: 2017.3
public void Translate (Vector3 translation, Space relativeTo= Space.Self);

Description

Moves the transform in the direction and distance of translation.

If relativeTo is left out or set to Space.Self the movement is applied relative to the transform's local axes. (the x, y and z axes shown when selecting the object inside the Scene View.) If relativeTo is Space.World the movement is applied relative to the world coordinate system.

using UnityEngine;
using System.Collections;

public class ExampleClass : MonoBehaviour { void Update() { transform.Translate(Vector3.forward * Time.deltaTime); transform.Translate(Vector3.up * Time.deltaTime, Space.World); } }

public void Translate (float x, float y, float z, Space relativeTo= Space.Self);

Description

Moves the transform by x along the x axis, y along the y axis, and z along the z axis.

If relativeTo is left out or set to Space.Self the movement is applied relative to the transform's local axes. (the x, y and z axes shown when selecting the object inside the Scene View.) If relativeTo is Space.World the movement is applied relative to the world coordinate system.

using UnityEngine;
using System.Collections;

public class ExampleClass : MonoBehaviour { void Update() { transform.Translate(0, 0, Time.deltaTime); transform.Translate(0, Time.deltaTime, 0, Space.World); } }

public void Translate (Vector3 translation, Transform relativeTo);

Description

Moves the transform in the direction and distance of translation.

The movement is applied relative to relativeTo's local coordinate system. If relativeTo is null, the movement is applied relative to the world coordinate system.

using UnityEngine;
using System.Collections;

public class ExampleClass : MonoBehaviour { void Update() { transform.Translate(Vector3.right * Time.deltaTime, Camera.main.transform); } }

public void Translate (float x, float y, float z, Transform relativeTo);

Description

Moves the transform by x along the x axis, y along the y axis, and z along the z axis.

The movement is applied relative to relativeTo's local coordinate system. If relativeTo is null, the movement is applied relative to the world coordinate system.

using UnityEngine;
using System.Collections;

public class ExampleClass : MonoBehaviour { void Update() { transform.Translate(Time.deltaTime, 0, 0, Camera.main.transform); } }