SOLUTION: ok i messed up on the other question i sent you guys.. I have one more for you to check.. if you would! THANK you SOOO MUCH!! Use the quadratic form of completing the square to

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Question 77306: ok i messed up on the other question i sent you guys.. I have one more for you to check.. if you would! THANK you SOOO MUCH!!
Use the quadratic form of completing the square to find the vertex of...
f(x) = 2x^2 -4x + 5
Factor out 2.. f (x) = 2(x^2-2x + 5/2)
2(x^2-2x + 1 -1 + 5/2
2(x^2 - 2x + 1 + 3/2)
2([x-1]^2 + 3/2)
f(x) = 2(x-1)^2 +3
Vertex: (1,3)
Answer by jim_thompson5910(28476) (Show Source):
You can put this solution on YOUR website!
You did this perfectly. To check your work we can always graph these 2 equations. If you did everything right, then the 2 graphs should overlap each other
graph of
graph of
We can see that they are the same graph, so the answer is verified.