Compression
This original textbook reading covers part of the AP topic. Follow the AP course outline for complete topic instruction and practice.
- Compression
Represents the “tightening” of a function, similar to what one might do with a spring.
x-direction: the horizontally compressed version of is represented by , where c is greater than 1.
y-direction: the vertically compressed version of is represented by , where c is greater than 1.
- Related Glossary Terms
- Index
Chapter 1 - Function Transforms
Glossary and deeper reading · 1 refreshers
These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.
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Graph stretching and compression
Graph scaling multiplies output values or changes how quickly the input is traversed. For y=A f(x), a factor |A|>1 stretches vertically, while 0<|A|<1 compresses vertically. For example, f(2x) compresses the graph horizontally by a factor of 1/2 relative to f(x). Negative factors also introduce reflections, and a zero factor is a separate degenerate case.