SOLUTION: What is the vertex of the parabola f(x)=14x-x^2 I don't know how to insert the small 2 over the x.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: What is the vertex of the parabola f(x)=14x-x^2 I don't know how to insert the small 2 over the x.      Log On


   

Question 648295: What is the vertex of the parabola
f(x)=14x-x^2
I don't know how to insert the small 2 over the x.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

What is the vertex of the parabola 

f%28x%29=14x-x%5E2+

f%28x%29=+-x%5E2+%2B+14x+  

||completing the square: y = ax^2 + bx + c   ⇒ y = a(x - (-b/2a)^2) - a(-b/2a)^2 + c

f(x) = -(x-7)^2 + 49    V(7,49)

the vertex form of a Parabola opening up(a>0) or down(a<0), y=a%28x-h%29%5E2+%2Bk 

where(h,k) is the vertex