Respuesta :

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].