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Functions, 2ADV EQ-Bank 10

  1. Express  \(y=x^2-4 x+6\)  in the form  \(y=(x-a)^2+c\).   (1 mark)

  2. Graph the parabola, labelling its vertex and \(y\)-intercept.   (2 marks)

Show Answers Only

a.   \(y=(x-2)^2+2\)

b.   \(\text {Vertex}=(2,2)\)

\(y \text{-intercept}=(0,6)\)
 

Show Worked Solution
a.     \(y\) \(=x^2-4 x+6\)
    \(=x^2-4 x+4+2\)
    \(=(x-2)^2+2\)

 
b.    \(\text {Vertex}=(2,2)\)

\(y \text{-intercept}=(0,6)\)