Use one parent-curve bench to read shifts, reflections, and vertical scale as visible moves on the graph before the math path widens into local and accumulated change.
This page stays deliberately compact, but it now points toward a fuller math slice. Graph Transformations keeps one parent curve, one transformed curve, and a small set of landmark points in view so horizontal and vertical shifts, vertical scale, and reflections can be read as actual motion on the graph before the symbols get abstract.
Best first concepts
The topic page keeps these starts in their own compact row so the first screen is about orientation and next action, not stacked feature cards.
Move one parent curve with honest controls so shifts, vertical scale, and reflections stay tied to the same overlaid graph and landmark points.
Parent-function moves
Strong first stop for getting into this topic without scanning the whole library.
Related guided tracks
These tracks stay tied to the same shared concept pages and progress model. They are surfaced here either because the authored path meaningfully overlaps this topic page or because the topic catalog marks the track as useful preparation for this branch.
Keep the first math path compact: read parent-curve moves first, then local slope, and then accumulation so change stays graph-first all the way through.
Track progress
0 / 5 moments complete
0 / 3 concepts and 0 / 2 checkpoints cleared.
Graph Transformations opens this track and sets up the rest of the path.
Specific learning goals
These goal cards stay authored and transparent. They reuse the current topic page, starter tracks, guided collections, concept bundles, and progress cues instead of adding a separate recommendation system on top of this branch.
Use the functions topic route, the compact math starter track, and the calculus topic route so graph moves, local slope, and accumulation stay on one coherent bench.
Primary move
Open topic route
No saved progress yet inside Functions.
Entry diagnostic
Start from beginning
No saved diagnostic checks are available yet, so the opening concept is still the best place to start.
Reuses the starter track entry for Functions and Change, with 0 of 2 probes already ready.
No saved progress yet inside Functions.
Graph Transformations opens this track and sets up the rest of the path.
No saved progress yet inside Calculus.
Grouped concept overview
Each group is authored in the topic catalog, but the actual concepts, progress badges, and track cues still come from the canonical concept metadata and shared progress model.
Group 01
Start with one parent curve and keep the transformed version overlaid so every parameter change still reads as a specific move on the same graph.
Move one parent curve with honest controls so shifts, vertical scale, and reflections stay tied to the same overlaid graph and landmark points.
Strong first stop for getting into this topic without scanning the whole library.