Answered

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

Sagot :

ajluv3161
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

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

Step-by-step explanation:

Given function [tex]f(x) = 2x^2-8x + 8[/tex]    -------(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 [tex]ax^2+bx+c[/tex],

Then, axis of symmetry, [tex]x=-\frac{b}{2a}[/tex]

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

[tex]x=-\frac{-8}{2\times 2}=2[/tex]

⇒x=2



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