SOLUTION: Write the given expression in the form f(x)=a(x-h)^2+k. Identify the vertex f(x)=6+5x-10x^2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Write the given expression in the form f(x)=a(x-h)^2+k. Identify the vertex f(x)=6+5x-10x^2      Log On


   

Question 408223: Write the given expression in the form f(x)=a(x-h)^2+k. Identify the vertex
f(x)=6+5x-10x^2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

f(x)= -10x^2 + 5x + 6   |putting into the vertex form by completing the square

f(x)= -10[x^2 - 1/2x] + 6 

f)x)= -10[(x - 1/4)^2 - 1/16] + 6 

f)x)= -10(x - 1/4)^2 - 10/16 + 6 

f)x)= -10(x - 1/4)^2 + 10/16 + 6 

f)x)= -10(x - 1/4)^2 + 106/16   |vertex is Pt(1/4, 53/8)