Question 1031388
You should examine this video for help or instruction how a solution to your exercise can work.
<a href="https://www.youtube.com/watch?v=MD4AiN1Gsmc">Changing quadratic equation from general form to standard form</a>


Study a lesson about Completing The Square:
<a href="https://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev">This lesson INCLUDES how to Complete the Square.</a>


The way you have your standard form symbolized, the vertex would be the point (k,c).  That then tells you about movement of the graph  {{{y=x^2}}} to {{{y=a(x-k)^2+c}}}.


The effect of the coefficient 2 on the leading term is the stretch the graph vertically.



The equation for the function is {{{y=2(x-3)^2+4}}}, and the term used to complete the square was 9.


{{{graph(400,400,-1,10,-1,10,2x^2-12x+22)}}}