$[20$ pts$]$ Give the configuration after applying the appropriate transition function, using the

symbols $a,b,c.$ Only apply the transition function once.

Assume the original configuration is:

bbabcq ${?}_2$ aaab

Available transition functions:

$(q_1,a)=(q_2,b,R)$

$(q_1,b)=(q_3,a,L)$

$(q_2,a)=(q_2,c,L)$

$(q_2,b)=(q_3,a,R)$

$(q_3,a)=(q_1,b,R)$

$(q_3,b)=(q_2,c,L)$