Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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



Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.