A scientist is performing a study on mosquitoes. She collects water with mosquito larvae and places it in an enclosed container in her lab. The scientist uses the data from the study to represent the total number of mosquitoes, M, as a function of the number of days in the study, t, and plots the data on a coordinate grid each day. She notices that the points she is plotting are making a parabolic shape. After the first 8 days, there were a total of 16 mosquitoes in the container. The next day, she counted 8 mosquitoes in the container. On day 10, she observed 16 mosquitos again. What is the quadratic function that models the scientist’s study, written in vertex form and standard form?