Apply vertical and horizontal compressions (0<factor<1) to functions
Select Type
f(x)=x+, compress by
f(x)=x+, compress by
f(x)=x^2, compress by
f(x)=x^2, compress by
Result
Derivation
Compression Rules
Vertical compression by a (0<a<1): g(x)=a*f(x)
Horizontal compression by a: g(x)=f(x/a)
Compression = reciprocal of stretch
Equivalent to stretch by 1/a
Compression is the opposite of stretch. A compression factor between 0 and 1 squashes the graph toward the axes. Vertical compression flattens, horizontal compression narrows. Compression and stretch are reciprocal transformations.
⚠Compression factor must be between 0 and 1. Factor > 1 would be a stretch. Compression by a = stretch by 1/a.
What Is a Function Compression?
A compression reduces the vertical or horizontal size of a graph. Mathematically, it multiplies the output (vertical) by a factor 0<a<1 or divides the input (horizontal) by a factor 0<a<1. Compression is the reciprocal of stretching.
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