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 ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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.      Log On


   

Question 99894: Find the equation of the axis of symetry for the graph of +y=x%5E2-3x%2B2+, 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) About Me  (Show Source):
You can put this solution on YOUR website!
Y=X^2-3X+2
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x%5E2+-3x+%2B2%29+ (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) About Me  (Show Source):
You can put this solution on YOUR website!
To find the axis of symmetry, use this formula:

x=-b%2F%282a%29

From the equation y=x%5E2-3x%2B2 we can see that a=1 and b=-3

x=%28--3%29%2F%282%2A1%29 Plug in b=-3 and a=1


x=3%2F%282%2A1%29 Negate -3 to get 3


x=%283%29%2F2 Multiply 2 and 1 to get 2


So the axis of symmetry is x=3%2F2




Notice if you graph the equation y=x%5E2-3x%2B2 you get


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