Where would a main sequence star that is cooler and dimmer than the sun appear on the graph?

On a Hertzsprung-Russell diagram, a main sequence star that is cooler and dimmer than the Sun would appear to the right and below the Sun's position. The Sun is located approximately in the middle of the main sequence, so a cooler and dimmer star would have a lower temperature and luminosity compared to the Sun, indicating it would be plotted in the lower left section of the main sequence.