SOLUTION: Trying to make sure I have this equation of a quadratic function whose graph passes through each set of points (1,0),(2,-7),(5,-16)Trying to teach this when it was 40 years ago wh

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Trying to make sure I have this equation of a quadratic function whose graph passes through each set of points (1,0),(2,-7),(5,-16)Trying to teach this when it was 40 years ago wh      Log On


   

Question 1128654: Trying to make sure I have this equation of a quadratic function whose graph passes through each set of points (1,0),(2,-7),(5,-16)Trying to teach this when it was 40 years ago when I was in school. Thank you so very much
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


General Quadratic Function:



Stop thinking about a point on the graph of a function as , rather consider it as .

So, if , then



And if , then



And if , then



Solve the 3X3 system for a, b, and c.


John

My calculator said it, I believe it, that settles it