The input-output voltage and current relationships of the inverting buck-boost DC-DC converter are covered. Below are links to more detailed design information.
"Basic Calculation of an Inverting Buck-Boost Power Stage," by Ilona Weiss, Texas Instruments, Application Report
SLVA721A–February 2017–Revised August 2017
http://www.ti.com/lit/an/slva721a/slva721a.pdf
"Power Topologies Handbook," by Markus Zehendner and Matthias Ulmann, Texas Instruments
https://www.ti.com/seclit/ug/slyu036/slyu036.pdf
"Switching Regulator Fundementals," by Adam Castaldo, Texas Instruments Application Report SNVA559C,
September 2012, revised February 2019
http://www.ti.com/lit/an/snva559c/snva559c.pdf
"Understanding power MOSFET data sheet parameters," AN11158, nexperia applicaiton note, Rev. 5.0 — 6 April 2020
https://assets.nexperia.com/documents/application-note/AN11158.pdf