SOLUTION: Find the equation of the axis of symetry for the graph of {{{ y=x^2-3x+2 }}}, and state whether the axis of symetry contains a maximum point or a minimum point of the graph.

Algebra.Com
Question 99894: Find the equation of the axis of symetry for the graph of , and state whether the axis of symetry contains a maximum point or a minimum point of the graph.
Found 2 solutions by checkley71, jim_thompson5910:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
Y=X^2-3X+2
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x^2 -3x +2).
checking the graph I'd say it has a minimum point.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
To find the axis of symmetry, use this formula:



From the equation we can see that a=1 and b=-3

Plug in b=-3 and a=1


Negate -3 to get 3


Multiply 2 and 1 to get 2


So the axis of symmetry is




Notice if you graph the equation you get


and you can see there is a minimum at the axis of symmetry

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