What is stretch or compression in math?

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In math terms, you can stretch or compress a function horizontally by multiplying x by some number before any other operations. To stretch the function, multiply by a fraction between 0 and 1. To compress the function, multiply by some number greater than 1.23 Nov 2021

What is a compression in math?

A compression occurs when a mathematical object is scaled by a scale factor less in absolute value than one. When a compression occurs, the image is smaller than the original mathematical object. If the scaling occurs about a point, the transformation is called a dilation and the "point" is called the dilation centre.

What is a stretch in math?

A stretch or compression is a function transformation that makes a graph narrower or wider. stretching. Stretching a graph means to make the graph narrower or wider. Transformations. Transformations are used to change the graph of a parent function into the graph of a more complex function.

Is stretch and compression the same?

stretch is a transformation that results in the distance from the x-axis every point growing by a scale factor greater than 1 and a vertical compression is a transformation that results in the distance from the x-axis of every point shrinking by a scale factor between 0 and 1.

How do you calculate stretch factor?

1 Answer

  1. Refer to: y=af(b(x−h))+k.
  2. A vertical stretch is the stretching of a function on the x-axis. …
  3. A horizontal stretch is the stretching of a function on the y-axis. …
  4. For example: …
  5. b=12.
  6. To vertically stretch we use this formula: …
  7. To horizontally stretch we use this formula: …
  8. x1=x12.

What is a horizontal stretch in math?

A horizontal stretch or shrink by a factor of 1/k means that the point (x, y) on the graph of f(x) is transformed to the point (x/k, y) on the graph of g(x). Examples of Horizontal Stretches and Shrinks.

How do you find stretching in math?

2:426:30Determine a Vertical Stretch or Vertical Compression – YouTubeYouTube

Which equations describes a stretch?

Key Points When by either f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed. In general, a vertical stretch is given by the equation y=bf(x) y = b f ( x ) .

What is horizontal compression in math?

A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis. • if k > 1, the graph of y = f (k•x) is the graph of f (x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.