Question

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

• A.
• B.
• C.
• D.
  
  

Answer 1

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
$y=(x^2-2x+1+5)$
$\Rightarrow y-5=(x-1{)}^2$
From this, we can say the vertex of the parabola is $(1,5)$