What is the equation for a parabola with a vertex of (5,-2) and a point (6,1)?    Include "y=" as part of your answer. 

Expert Answers
lemjay eNotes educator| Certified Educator

To determine the equation, use the vertex form of the parabola which is:


Plug-in the given vertex (5,-2).



To get the value of a, plug-in the point (6,1).






Hence, the equation of the parabola is `y=3(x-5)^2-2` .