๐Ÿ“ˆcollege algebra review

key term - Stretch

Definition

A stretch is a transformation that scales a graph horizontally or vertically. It changes the shape of the graph without altering its basic structure.

5 Must Know Facts For Your Next Test

  1. A vertical stretch multiplies all $y$-values of a function by a constant factor greater than 1.
  2. A horizontal stretch multiplies all $x$-values of a function by a constant factor between 0 and 1.
  3. The equation $f(cx)$ represents a horizontal stretch if $0 < c < 1$ and compression if $c > 1$.
  4. The equation $cf(x)$ represents a vertical stretch if $c > 1$ and compression if $0 < c < 1$.
  5. Stretches do not affect the asymptotes of exponential functions; they only change the rate at which the function approaches these asymptotes.

Review Questions

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