See figure attached for problem statement and my work. I am asked to derive the transfer function for the circuit shown in the figure and plot its magnitude characteristic versus frequency. I'm working on the transfer function part and I've almost got everything in a pretty form expect for the complex part in the denominator is giving me problems. As indicated in the figure, my cheatsheet says that for Series RLC I should get something of that form. (See figure) I just don't see how I can transform something like this into that form. I have a feeling it's not possible to put it into that form because the Vo is being measured across different nodes than usual. Is this the case? What am I missing/not seeing? Is the form I have my transfer function in sufficient enough to do the bode plot and determine what type of filter it is? Once I can get these things cleared up I'll try to work through the rest of the question. Thanks again!