Answer:
Axis of symmetry is [tex]x=1.5[/tex].
Step-by-step explanation:
Given equation is [tex]y=2x^2-6x+2[/tex].
Now we need to find about what is the axis of symmetry of the given function.
So compare it with [tex]y=ax^2+bx+c[/tex], we get:
a=2, b=-6, c=2
Axis of symmetry is given by the formula
[tex]x=-\frac{b}{2a}[/tex]
[tex]x=-\frac{-6}{2(2)}[/tex]
[tex]x=\frac{3}{2}[/tex]
[tex]x=1.5[/tex]
Hence final answer is given by:
Axis of symmetry is [tex]x=1.5[/tex].