Question

Complete the square to change the equation $y = 2 x ^ { 2 } - 4 x + 5$ into graphing form. Identify the vertex of the parabola and sketch the graph.

Solution

VerifiedStep 1

1 of 3$y=2x^2-4x+5$ (Given)

$y=2(x^2-2x+1)-2+5$ (Complete the square)

$y=2(x^2-2x+1)+3$

$y=2(x-1)^2+3$ (Graphing form of the equation)

The vertex of the parabola is: $(1, 3)$

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