Answer:
Axis of symmetry at [tex]x=2[/tex]
Step-by-step explanation:
The graph of the function [tex]f(x)= x^2 - 4x + 6[/tex]
To find axis of symmetry we use formula [tex]x=\frac{-b}{2a}[/tex]
Given equation is in the form of
[tex]y=ax^2+bx+c[/tex]
[tex]a=1, b=-4, c=6[/tex]
Plug in the values in the formula
[tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-(-4)}{2(1)}[/tex]
[tex]x=2[/tex]
Axis of symmetry at [tex]x=2[/tex]
