SOLUTION: graph the quadratic function f(x) =x squared minus 6x plus 10. give axis domain and range then determine the interval of the domain for which the function is increasing and the int

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: graph the quadratic function f(x) =x squared minus 6x plus 10. give axis domain and range then determine the interval of the domain for which the function is increasing and the int      Log On


   

Question 963255: graph the quadratic function f(x) =x squared minus 6x plus 10. give axis domain and range then determine the interval of the domain for which the function is increasing and the interval for which the function is decreasing
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square to convert to vertex form,
y=x%5E2-6x%2B10
y=%28x%5E2-6x%2B9%29%2B10-9
y=%28x-3%29%5E2%2B1
The vertex occurs at (3,1).
The parabola opens upwards.
The interval in which it is decreasing is (-infinity,3).
The interval in which it is increasing is (3,infinity).
The axis of symmetry is x=3.
The parabola opens upwards so the vertex value is the minimum.
The range is [1,infinity).
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