can you check this question?

An object moving vertically is at the given heights at the specified times. Find the position equation
s = at^2 + v0t + s0 for the object given the following conditions.
•At t = 1 seconds, s = 48 feet
•At t = 2 seconds, s = 64 feet
•At t = 3 seconds, s = 48 feet

answer:answer: s=-16t^2+64t+0

the equation fits. Could you not do as I did, and just plug in t=1,2,3 to see that the result is as desired?