SOLUTION: graph: (x-2)^2 = 2(y-1)

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Question 112911: graph:
(x-2)^2 = 2(y-1)
Found 2 solutions by checkley71, chitra:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(x-2)^2=2(y-1)
x^2-4x+4=2y-2
2y=x^2-4x+4+2
2y=x^2-4x+6
y=x^2/2-4x/2+6/2
y=x^2/2-2x+3
+graph%28+300%2C+200%2C+-6%2C+10%2C+-10%2C+10%2C+y+=+x%5E2%2F2+-2x+%2B3%29+ (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, y = x^2/2 -2x +3).

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression can be written as:

%28x-2%29%5E2+=+2%28y-1%29

%28x+-+2%29%5E2+=+2y+-+2

%28%28x+-+2%29%5E2+%2B+2%29%2F2+=+y+

Thus the graph of the given parabola looks like this

+graph%28+300%2C+300%2C+-15%2C+15%2C+-15%2C+15%2C%28x+-+2%29%5E2%2F2+%2B+1+%29+