Question

I don't understand how to solve this, can someone explain?

Answer 1

Hello!

The answer is:

`x=-2`

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:

`x=(-b)/(2a)`

We are given the parabola:

`f(x)=2x^(2) +8x+8`

Where,

`a=2\\b=8\\c=8`

So, finding the axis of symmetry we have:

`x=(-b)/(2a)=(-8)/(2*2)=(-8)/(4)=-2`

So, the axis of symmetry of the parabola is:

`x=-2`

Have a nice day!