Hello!
The answer is: The axis of symmetry is: [tex]x=1[/tex]
Why?
The axis of symmetry is a vertical line that divides the function (parabola)into two congruent halves, and it can be found using the following equation:
[tex]x=-\frac{b}{2a}[/tex]
From the given function (parabola) we have that:
[tex]a=2\\b=-4\\c=2[/tex]
So, finding the axis of symmetry we have:
[tex]x=-\frac{-4}{2*2}=\frac{4}{4}=1[/tex]
So, the axis of symmetry is: [tex]x=1[/tex]
Have a nice day!
