Rotate Camera around Player/Character in Unity

updateCamRotation.cs

// Rotates the camera around character's current position based on axis input.
// PS4 - Right Analog Stick
void updateCamRotation(Vector3 characterPosition) {
    
    // Set speed of rotation
    float rotationSpeed = 2;
    
    // Obtain Axes input.
    float rotateHorizontal = Input.GetAxis("RightStickX");
    float rotateVertical = Input.GetAxis("RightStickY");

    // Rotate camera about the character's current position.
    gameObject.transform.RotateAround(characterPosition, Vector3.up, rotateHorizontal * rotationSpeed);
    gameObject.transform.RotateAround(characterPosition, transform.right, rotateVertical * rotationSpeed);
}