SAT Math / Quadratics

Parabola Features

Part of the full libraryOpens January 2, 2027 · $97 for a year
What’s included
parabolaA parabola consists of points equally far from a fixed line and a fixed point off that line.

You’ll leave with these skills

  1. Tell which way a parabola opens and where it crosses the y-axisCheck the sign of the number in front of the squared term to see whether the parabola opens up or down, and read the last number as the y-intercept.
  2. Find a parabola’s vertex from two points at the same heightFind the x-value halfway between two points at the same height, then plug it into the equation to get the vertex’s y-value.
  3. Pick the form of a quadratic that shows the intercepts or the vertexRead the x-intercepts from the numbers in factored form and the vertex from the numbers in vertex form.
  4. Find a parabola’s maximum output and where it happensGive the vertex’s y-value when the question asks for the maximum value and its x-value when it asks where the maximum happens.

This lesson is part of the full library

207 lessons that teach every skill the SAT tests
  • 71Math
  • 40Reading
  • 24Grammar
  • 10 full-length practice tests to build test-day stamina and confidence
  • A Desmos simulator to solve math questions faster
  • A step-by-step guide to every practice test question
  • The Bluebook Simulator, so test day feels familiar
  • A drawing for every key term, so new ideas make sense at a glance

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