Question

What is the axis of symmetry for f(x) = 2x2 − 8x + 8?

Answer 1

Answer: 2 is the axis of symmetry for the given function.

Explanation:

Given function
`f(x) = 2x^2-8x + 8` -------(1)

Since, the axis of symmetry is a line which divides the parabola into two equal halves that are the reflection of each other.

And, a quadratic function represents a parabola.

If a parabola is in the form of
`ax^2+bx+c`,

Then, axis of symmetry,
`x=-(b)/(2a)`

Thus, axis of symmetry for the parabola represented by equation (1)

`x=-(-8)/(2* 2)=2`

⇒x=2

Answer 2

the axis of symmetry is 2
2x^2-8x+8
2(x^2-4x)+8
2(x-2)^2-2(4)+8
2(x-2)^2-8+8
2(x-2)^2
^ on a graph would be at x=2