Third person controller based on camera direction with mouse look problem

Questions & Answers
1

So I created this third person controller script based on the camera position, but my problem is that the object is going right through the floor when moving because I am using translate for movement.

Based on the code below, how would I stop movement in the Y axis?

void Update() {

Vector3 moveSideways = cameraObject.transform.right * strafeSpeed * Time.deltaTime;

		if(Input.GetAxis("Horizontal") == 1){
			transform.Translate(moveSideways);
		}
		if(Input.GetAxis("Horizontal") == -1){
			transform.Translate(-moveSideways);
		}

Vector3 moveForward = cameraObject.transform.forward * movementSpeed * Time.deltaTime;

		if(Input.GetAxis("Vertical") == 1){
			transform.Translate(moveForward);
		}
		if(Input.GetAxis("Vertical") == -1){
			transform.Translate(-moveForward);
		}

}
2

Insert on line 14:

moveForward.y = 0.0f;