Compression
Definition
Compression refers to a transformation that reduces the distance between points in a graph. It often results in the graph appearing 'squeezed' either horizontally or vertically.
5 Must Know Facts For Your Next Test
- Horizontal compression occurs when the input variable is multiplied by a factor greater than 1.
- Vertical compression happens when the output of a function is multiplied by a factor between 0 and 1.
- The compressed graph retains the original shape but with altered dimensions.
- For exponential functions, horizontal compression can make growth appear faster.
- For logarithmic functions, vertical compression can make growth appear slower.
Review Questions
- What effect does multiplying the input variable of a function by a factor greater than 1 have on its graph?
- How does vertical compression affect the appearance of an exponential function's graph?
- What remains unchanged in a function's graph after it undergoes compression?
"Compression" appears in:
Related terms
Horizontal Stretch: A transformation that increases the distance between points horizontally, making the graph wider.
Vertical Stretch: A transformation that increases the distance between points vertically, making the graph taller.
$y = c \cdot f(x)$: $y = c \cdot f(x)$ represents vertical scaling of a function, where $c$ is a constant.
