Hi @Brian,
Welcome to the Microsoft Q&A Platform!
As mentioned here in this documentation: https://learn.microsoft.com/en-us/azure/azure-functions/dotnet-isolated-process-guide?tabs=hostbuilder%2Clinux#http-trigger
if you are using isolated built-http model then you need to use HttpRequestData and HttpResponseData.
If you are using ASP .Net Core integration model you need to HttpRequest & HttpResponse.
I hope this helps! Let me know if you have any further questions.
Thank you.