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f(x) = x²

Definition

This quadratic function represents a parabola where every y-value (output) is equal to the square of its corresponding x-value (input).

Related terms

Vertex: The highest/lowest point on the parabola, also known as its maximum/minimum.

Axis of Symmetry: A vertical line that divides the parabola into two mirror-image halves.

Roots/Zeros: The x-values where the graph intersects the x-axis, corresponding to points where the function equals zero.

"f(x) = x²" appears in:

Practice Questions (1)

  • What is the volume of the solid of revolution obtained by rotating the region bounded by the x-axis and the graph of f(x) = x² around the vertical line x = 3?

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About Us

About Fiveable

Blog

Careers

Code of Conduct

Terms of Use

Privacy Policy

CCPA Privacy Policy

Resources

Cram Mode

AP Score Calculators

Study Guides

Practice Quizzes

Glossary

Cram Events

Merch Shop

Crisis Text Line

Help Center

© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.