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Translating and Reflecting Graphs

by Anonymous

Shift with p and q, stretch with a and b, and move the minus sign around to see translations and reflections in the x-axis, y-axis, and origin.

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About this app

An interactive math learning app for exploring how function graphs change when their formulas are modified. Adjust p and q to translate a graph, change a and b to stretch or compress it vertically and horizontally, and select reflections across the x-axis, y-axis, or origin. Guided missions, animated graph comparisons, equations, and feedback help learners connect algebraic signs and factors with visual transformations.

Use cases

  • High school students learning graph transformations
  • Teachers demonstrating translations, scaling, and reflections
  • Learners practicing the effect of signs and coefficients in functions
  • Classroom or self-study review of common mathematics topics

Features

  • Interactive translation controls for horizontal p and vertical q movement
  • Vertical scaling with a and horizontal scaling with b
  • Reflection modes for the x-axis, y-axis, and origin
  • Original and transformed graphs shown together for comparison
  • Step-by-step missions with reset, next, and immediate feedback