SOLUTION: Identify the axis of symmetry, create a suitable table of values and sketch the graph... 1. y=x^2-5x+3 2. y=-x^2+6x-2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Identify the axis of symmetry, create a suitable table of values and sketch the graph... 1. y=x^2-5x+3 2. y=-x^2+6x-2      Log On


   



Question 85782: Identify the axis of symmetry, create a suitable table of values and sketch the graph...
1. y=x^2-5x+3
2. y=-x^2+6x-2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Identify the axis of symmetry, create a suitable table of values and sketch the graph...
1. y=x^2-5x+3
y = x^2-5x+(5/2)^2+3-(5/2)^2
y = (x-(5/2))^2 -(13/4)
y+(13/4) = (x-(5/2))^2
Vertex at (5/2,-13/4)
Axis of symmetry: x=5/2
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-5x%2B3%29
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2. y=-x^2+6x-2
y+2-(3)^2 = -(x^2-6x+(3)^2)
y-7 = -(x-3)^2
Vertex: (3,7)
Axis of symmetry: x=3
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B6x-2%29
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Cheers,
Stan H.