SOLUTION: The graph of y=ax^2 + bx + c is a parabola with vertical axis of symmetry. The vertex of this parabola is (2,3) and the parabola contains the point (4,4). Find the value of y when

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: The graph of y=ax^2 + bx + c is a parabola with vertical axis of symmetry. The vertex of this parabola is (2,3) and the parabola contains the point (4,4). Find the value of y when       Log On


   

Question 1038746: The graph of y=ax^2 + bx + c is a parabola with vertical axis of symmetry. The vertex of this parabola is (2,3) and the parabola contains the point (4,4). Find the value of y when x=6.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the vertex form.



where is the vertex of the parabola.



Substitute the coordinates for (4,4):



and solve for

Then you can insert the value of and then expand and rearrange to get the standard form of the function if you wish.

John

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