How do you stretch a transformation?

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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 ) .

How do you stretch a transformation on a graph?

To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ).

What does stretch mean in transformation?

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.

How do you stretch and shrink in transformations?

0:347:57Pre-Calculus – Applying stretching and shrinking transformations – YouTubeYouTubeStart of suggested clipEnd of suggested clipIf you multiply on the outside by a number between zero and one then it will shrink it. When you tryMoreIf you multiply on the outside by a number between zero and one then it will shrink it. When you try and do these same things to the inside of the function.

How do you stretch a function?

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.

How do you find the stretch factor of a graph?

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.

How do you stretch in math?

Iliotibial band stretch

  1. Lean sideways against a wall. …
  2. Stand on the leg with the affected hip, with that leg close to the wall. …
  3. Let your affected hip drop out to the side of your body and against the wall. …
  4. Hold the stretch for 15 to 30 seconds.
  5. Repeat 2 to 4 times.

How do you stretch a matrix?

4:1510:21Transformation Matrix For Stretch and Enlargement, iGCSE, As Level …YouTube

How do you stretch and compress a graph?

How To: Given a function, graph its vertical stretch.

  1. Identify the value of a .
  2. Multiply all range values by a .
  3. If a>1 , the graph is stretched by a factor of a . If 0<a<1 0 < a < 1 , the graph is compressed by a factor of a . If a<0 , the graph is either stretched or compressed and also reflected about the x -axis.