Hello!
The answer is:
[tex]x=-2[/tex]
Why?
The axis of symmetry of the parabola is a line that cuts the parabola in two symmetric halves.
We can find the axis of symmetry of any parabola using the following formula:
[tex]x=\frac{-b}{2a}[/tex]
We are given the parabola:
[tex]f(x)=2x^{2} +8x+8[/tex]
Where,
[tex]a=2\\b=8\\c=8[/tex]
So, finding the axis of symmetry we have:
[tex]x=\frac{-b}{2a}=\frac{-8}{2*2}=\frac{-8}{4}=-2[/tex]
So, the axis of symmetry of the parabola is:
[tex]x=-2[/tex]
Have a nice day!
