Algebra › Section I · Quadratic equations and functions › Topic I.7
Graphing with transformations
Almost every graph you will meet is a familiar shape that has been shifted, stretched, or flipped. Learn the small grammar of these moves once, and a complicated equation becomes a parent graph plus travel instructions.
In this topic
- Parent graphs
- Vertical shifts
- Horizontal shifts
- Reflections
- Stretches and compressions
- Worked example: reading a combination
- Worked example: tracking a specific point
- Vertex form as a transformation receipt
- Symmetry: the self-reflecting graphs
- Common mistakes to avoid
- Key takeaways
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