Question 77306
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( 300, 200, -6, 5, -10, 10, 2x^2 -4x + 5) }}} graph of {{{y=2x^2 -4x + 5}}}

{{{ graph( 300, 200, -6, 5, -10, 10, 2(x-1)^2 +3) }}} graph of {{{y=2(x-1)^2 +3}}}

We can see that they are the same graph, so the answer is verified.