Pick the correct plot for the function $y = x^{2} - 2 x + 6$

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Solution

The correct option is C

Since the coefficient of $x^{2}$ is positive, the graph will be an upward facing parabola.
For the vertex part of it, we can write the given expression as
$y = (x^{2} - 2 x + 1 + 5)$
$\Rightarrow y - 5 = (x - 1)^{2}$
From this, we can say the vertex of the parabola is $(1, 5)$

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