SOLUTION: graph the function? f(X)=(x-2)^2+1

Question 143932: graph the function? f(X)=(x-2)^2+1

Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
Note, first, that the function will never be valued below 1. This is because (x-2)^2>=0. Now, when x=2 we have f(2)=1. x=2 is the absolute minimum value of x because any other number will result in a square greater than 0. So we have (2,1) as the vertex. The function, moreover, has to open upward because the leading coefficient will be positive. This is really all the information that we need to graph it--- there is no modification of the growth of y per x.

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