Use factoring and completing the square to reveal zeros, extrema, and symmetry of quadratics.
Identify the axis of symmetry of a quadratic from factored form
Problem
Use factored form \(f(x)=(x-2)(x-8)\) to identify the axis of symmetry.
Big Picture
What this problem is really about
A quadratic’s factored form locates two symmetric x-intercepts, and their midpoint gives the vertical symmetry axis. We’ll solve the factors for the roots, average those inputs, and use equal horizontal distances as a geometric check.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
