SAT Math / Functions

Function Transformations

Part of the full libraryOpens January 2, 2027 · $97 for a year
What’s included
functionA rule that assigns exactly one output to each allowed input.

You’ll leave with these skills

  1. Find where a shifted parabola’s lowest point ends upMove the low point left or right by the number inside the parentheses and up or down by the number added at the end.
  2. Tell which way a graph shifts from its equationShift the graph the opposite way from the sign of the number inside the parentheses, so a minus sign there shifts it right.
  3. Find where a known point lands on a shifted graphMove a known point left or right by the number inside the parentheses and up or down by the number outside to find it on the new graph.
  4. Check the direction of a shift in DesmosType the original function and the shifted version into Desmos and compare where their low points sit.

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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