Wow!! very helpful and your screen is so cool, how are you writing on an invisible screen, I love that also is it inverted for you, I feel like it would be so good for you to understand it backward and everything!!
That’s a great question, but a different type of question that this video was made for. It’s going to be too hard to explain it in a comments section and I unfortunately don’t have a video on this as it’s not required for my students in the curriculum that I currently teach. But you essentially need other information about the graph to be able to find the equation. Often you will be given information about significant features of the quarter like the type and location of stationary points (which are turning points and stationary points of inflection) and how many of these there are, and generally the y-intercept or a coordinate. It can be done and questions like these I have seen come up when studying topics like calculus because derivatives can also be used to give some of the information that is required as well because if it isn’t cutting the x-axis, it doesn’t have any real roots, but imaginary roots. I’m sorry I can’t help further right now, I would really need to make a video to explain it. Plus I would probably need to see the question(s) that you have been given to solve to see the nature of the problem and what information that you have actually been given.