SOLUTION: Determine the vertex of the graph of the quadratic function f(x) =x2+ x + 5/4

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Determine the vertex of the graph of the quadratic function f(x) =x2+ x + 5/4      Log On


   

Question 1031473: Determine the vertex of the graph of the quadratic function f(x) =x2+ x + 5/4
Found 2 solutions by Fombitz, Boreal:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square,
f%28x%29=x%5E2%2Bx%2B5%2F4
f%28x%29=%28x%5E2%2Bx%2B1%2F4%29%2B5%2F4-1%2F4
f%28x%29=%28x%2B1%2F2%29%5E2%2B1
(-1%2F2,1)
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Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The x-value is at -b/2a, b=1, a=1
x=-1/2
f(-1/2)=(1/4)-1/2+5/4=1
(-1/2,1)
graph%28300%2C200%2C-3%2C1%2C-2%2C2%2Cx%5E2%2Bx%2B5%2F4%29