Skip to content
PlayOwl

Mathematics · Grade 11

Function Transformations and Inverses

Learners describe how shifts, stretches, compressions and reflections change a function's equation, graph and key points, and write transformed equations from descriptions. They then find inverse functions algebraically, verify them by composition, relate their graphs by reflection in y = x, test invertibility with the horizontal line test, and restrict domains so that quadratics have inverses.

  • 4 lessons
  • About 125 minutes
  • Transformations and inverses check: 11 questions
  • Ways to answer: choose an answer, plot points, match pairs, type a number, put in order and sort into groups
See plans Included with Family, Teacher and School plans. Open in PlayOwl

What learners will discover

  • Describe the effect of vertical and horizontal shifts, stretches, compressions and reflections on a function's graph and key points.
  • Write the equation of a transformed function from a description or from key features, attending to the order of transformations.
  • Find inverse functions algebraically, verify them by composition, and relate their graphs by reflection in y = x.
  • Decide whether a function is invertible (one-to-one), restrict a domain to create an inverse, and use inverses in context.

Lessons

  1. How transformations move points 6 steps4 practiceabout 30 min
  2. Writing transformed equations 6 steps3 practiceabout 28 min
  3. Inverse functions 6 steps4 practiceabout 32 min
  4. When inverses exist 6 steps3 practiceabout 30 min
  5. Transformations and inverses check 11 questions at the end

Keep exploring

More 11th grade math

Guide for grown-ups