Question 87510
Using the method of “Complete the Square” put f(x) = 2x² – 10x + 14 in parabolic form, hand-graph, and identify the vertex & axis of symmetry.
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y = 2(x^2-5x+(5/2)^2) + 14 - 2*(5/2)^2

y = 2(x-(5/2))^2 + 14 - (25/2)

y = 2(x-(5/2))^2 + (3/2)

y-(3/2) = 2(x-(5/2))^2

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Vertex at (5/2 , 3/2)
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Axis is x = 5/2
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{{{graph(400,300,-10,10,-10,10,2x^2-10x+14 )}}}
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Cheers,
Stan H.