SOLUTION: Write the given expression in the form f(x)=a(x-h)^2+k. Identify the vertex f(x)=1/3x^2+x+1 If you could, please show me step by step. Thanks!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Write the given expression in the form f(x)=a(x-h)^2+k. Identify the vertex f(x)=1/3x^2+x+1 If you could, please show me step by step. Thanks!      Log On


   

Question 408215: Write the given expression in the form f(x)=a(x-h)^2+k. Identify the vertex
f(x)=1/3x^2+x+1
If you could, please show me step by step. Thanks!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Write the given expression in the standard vertex form f(x)=a(x-h)^2+k

where(h,k) is the vertex

f(x)=1/3x^2+x+1  |completing the square to put into vertex form

f(x)=1/3[x^2+3x)+1  

f(x)=1/3[x +3/2)^2 -9/4]+1 

f(x)=1/3(x +3/2)^2 -3/4 + 1 

f(x)=1/3(x +3/2)^2 + 1/4   |vertex is Pt(-3/2,1/4)