On a coordinate plane, the pre-image square has points (0, 0), (0, 3), (3, 3), (3, 0). Scale factor = 2. Consider the given pre-image dilated by a scale factor of 2, and answer the questions. After applying the scale factor, what is the image? What will be the new coordinate of the vertex at (3, 3) if the vertex at (0, 0) remains the same?