SOLUTION: I need help. I need to state the range of the function f(x)= (x-2)^2 + 1 I have solved it this far..... (x-2) (x-2) + 1 x^2-2x-2x+4 +1 x^2-4x+5 and then I equaled it to zer

Question 48991: I need help. I need to state the range of the function f(x)= (x-2)^2 + 1
I have solved it this far.....
(x-2) (x-2) + 1
x^2-2x-2x+4 +1
x^2-4x+5 and then I equaled it to zero.
X^2-4x + 5 = 0
Now, I am stuck. Am I doing it right? If I am finding the range I am trying to find Y, right? So I need to solve x so I can find y. But what if I can not go any further?
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
x^2 - 4x + 5 is a parabola with a vertex of (-b/2a,f(x))
vertex:(2,1) and the parabola opens up
Range:

RELATED QUESTIONS
I need help with this problem. I have solved it and I got the answer x-5/2 but its not... (answered by user_dude2008)

I need to solve this equation for x: sqrt(2x-1) - sqrt(x-1) = 1 This is what I have (answered by solver91311)

i need this equation to be solved, please. (:... (answered by Fombitz)

How come and forgive me for saying, Why are there not andy function solutions? I have... (answered by nycsub_teacher)

I need help finding the y-incept and the vertex for this quadratic function... (answered by ikleyn)

i need to determined the values of the quadratic equation (-2,-1,0,1,2) 1-F(x)=1/2x^2 -... (answered by MathLover1)

I need help with finding any x-intercepts and the y-intercepts. If no x-intercepts exist, (answered by adewberry,richwmiller)

State the domain and range of f^-1 (x), given f(x)=(x-1)^2 +2 ** Please note their... (answered by Nate)

I need to find the LCM of the following Algebraic Expressions: x^5+2x^4+x^3, 2x^3-2x,... (answered by Alan3354)