SOLUTION: Let f(x) = ax^2 + bx + c . Complete the square to write f in the form f(x) = {{{ a(x + __ )^2 + __ }}} The graph of f is a parabola whose vertex has x =____ If a < 0, then the

Algebra ->  Finance -> SOLUTION: Let f(x) = ax^2 + bx + c . Complete the square to write f in the form f(x) = {{{ a(x + __ )^2 + __ }}} The graph of f is a parabola whose vertex has x =____ If a < 0, then the      Log On


   



Question 906366: Let f(x) = ax^2 + bx + c . Complete the square to write f in the form
f(x) = +a%28x+%2B+__+%29%5E2+%2B+__+
The graph of f is a parabola whose vertex has x =____
If a < 0, then the ____ value of
f is f ____
Thank you

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x) = ax^2 + bx + c . Complete the square to write f in the form
f(x) =
------------------
y = ax^2 + bx +c
y = a(x^2 + (b/a)x) + c
----
Complete the square::
y = a(x^2 + (b/a)x + (b/2a)^2 + c-a(b/2a)^2
---
Factor:
y = a(x+(b/2a))^2 + c-a(b/2a)^2
--------------------
The graph of f is a parabola whose vertex has x = -b/(2a)____
-------------------------------
If a < 0, then the __?__ value of
f is f __?__

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Cheers,
Stan H.
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