SOLUTION: Find the coordinates of the vertex for the parabola given by the equation f(x)=-x^2-2x-1

Question 635819: Find the coordinates of the vertex for the parabola given by the equation f(x)=-x^2-2x-1
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the coordinates of the vertex for the parabola given by the equation f(x)=-x^2-2x-1
=====================
Do it like this one:
------------
Find the coordinates of the vertex for the parabola given by the equation
f(x)=-3x^2-x-1.
----------
The vertex is on the LOS, Line of Symmetry, or the Axis of Symmetry
-----
The LOS is x = -b/2a
x = 1/-6 = -1/6
----
f(-1/6) = -1/12 + 1/6 - 1 = -11/12
--> vertex (-1/6,-11/12)

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

general form:
...where cannot be zero
you are given:

the of the vertex is
We need only to find that coordinate, and then find the that goes with it by using that value for in our equation for .
so, where and

.....now find

the vertex is at (, )

RELATED QUESTIONS
find the coordinates of the vertex for parabola given by the equation... (answered by ewatrrr)
Having problems with this question: Find the coordinates of the vertex for the... (answered by Alan3354)
Find the coordinates of the vertex for the parabola given by the equation... (answered by stanbon)
find the coordinates of the vertex for the parabola f(x) =x squared... (answered by stanbon)
Find the coordinates of the vertex for the parabola... (answered by ewatrrr)
f(x) = 2(x-3)2 + 1 find the coordinates of the vertex parabola defined by the given... (answered by Fombitz)
find the coordinates of the vertex for the parabola defind by the given quadratic... (answered by stanbon)
Find the coordinates of the vertexfor the parabola defined by the given quadraric... (answered by josmiceli)
find the coordinates of the vertex for the parabola defined by the given quadratic... (answered by robertb)