SOLUTION: an someone please help me with this : Determine a symmetrical pair of points , calculate the coordinates of the vertex and sketch the graph. y=x^2-6x+10 And please include

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: an someone please help me with this : Determine a symmetrical pair of points , calculate the coordinates of the vertex and sketch the graph. y=x^2-6x+10 And please include      Log On


   

Question 323500: an someone please help me with this :
Determine a symmetrical pair of points , calculate the coordinates of the vertex and sketch the graph.
y=x^2-6x+10
And please include the formula used to figure each answer.
Thank you.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square to put the equation into vertex form, y=a%28x-h%29%5E2%2Bk, where (h,k) is the vertex.
y=x%5E2-6x%2B10
y=x%5E2-6x%2B9%2B10-9
y=%28x-3%29%5E2%2B1
The vertex is (3,1).
The axis of symmetry is x=3 so all point equidistant from the axis are symmetric.
x=4 and x=2
y=%284-3%29%5E2%2B1=2
(4,2) and (2,2)
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