Math 11-Equation of Quadratic Function, when given vertex and other point on parabola
Hi! I have this Math 11 problem. I do my math through Distance Ed. and there are no examples like this one in the supplied lessons. If anyone could help me with this question, that would be great!
The problem statement, all variables and given/known data
Find the equation of the quadratic function with a vertex at (1,3) passing through the points (2,1). Write your answer in the form y=ax^2+bx+c.
The attempt at a solution
Using these two points (one being the vertex), I am able to write an equation, but in the form of y=a(x-h)+k. Below is the answer I get for that:
However, I was wondering if I can just convert this answer to the other quadratic form, or do I have to do the question an entirely different way.
Any comments/help on ways to do this question appreciated. (Nod)