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Pre-Calculus 12 · Mathematics · Lesson 1.2

Stretches

Level
Grade 12
Reading time
4 min reading
Review
Last reviewed 2026-09-03
Errata

Abstract

Scale a graph and predict exactly where its key points land.

Concept preview

What you will be able to do

  1. 01Apply vertical and horizontal stretches and compressions
  2. 02Reflect graphs across the x- and y-axes
  3. 03Combine all transformations in the form y = a f(b(x - h)) + k with correct order

Translations slide a graph rigidly; now we resize and flip it. A stretch pulls a graph away from an axis (or a compression squeezes it toward one), and a reflection flips it across an axis. The same inside/outside master rule still governs everything: factors outside the function scale or flip the yy-values as written, while factors inside scale or flip the xx-values inversely.

School Plan

Stretches

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