Question 466380
(A)Write the quadratic function f(x)=x²-6x+14 in the form f(x)=a(x-h)²+k by completing the square and 
(B)graph the function. 
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f(x)=x²-6x+14
completing the square
f(x)=(x^2-6x+9)+14-9
f(x)=(x-3)^2+5
This is a parabola with vertex at at (3,5) and it opens upwards
See graph below as a visual check on answer:

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{{{ graph( 300, 300, -6, 6, -3, 10,(x-3)^2+5) }}}