SOLUTION: Sketch the graph the parabola. Find the coordinates of the vertex. y=-x^(2)+2x-3 The vertex is? ___? Also graph the parabola If you can please include the points that

Algebra ->  Graphs -> SOLUTION: Sketch the graph the parabola. Find the coordinates of the vertex. y=-x^(2)+2x-3 The vertex is? ___? Also graph the parabola If you can please include the points that       Log On


   



Question 620542: Sketch the graph the parabola. Find the coordinates of the vertex.
y=-x^(2)+2x-3
The vertex is?
___?
Also graph the parabola
If you can please include the points that I have to graph/plot that would be great. I know how to get the vertex but I always mess up when it comes to graphing the exact point or points.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Sketch the graph the parabola. Find the coordinates of the vertex.
y=-x^(2)+2x-3
The vertex is?
----
Complete the square:
y+3 = -x^2+2x
----
-(x^2-2x+?) = y + 3 -?
---
-(x^2-2x+1) = y + 3 -1
----
-(x-1)^2 = y + 2
----
Vertex: (1,-2)
----
Graph::
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B2x-3%29
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Cheers,
Stan H.
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