A science journalist is analyzing the relationship between temperature and the rate of a chemical reaction. The rate \( R \) of the reaction is modeled by the quadratic function \( R(T) = aT^2 + bT + c \), where \( T \) is the temperature in degrees Celsius. Given that \( R(0) = 2 \), \( R(10) = 22 \), and \( R(20) = 50 \), find the values of \( a \), \( b \), and \( c \). - Veritas Home Health