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Stretching graphs

What is a stretch?

Section titled “What is a stretch?”

A stretch is when we change the shape of a graph by making it taller/shorter (vertical stretch) or wider/thinner (horizontal stretch).

Equation of a stretched function

Section titled “Equation of a stretched function”

Where:

  • is the vertical stretch factor
  • is the horizontal stretch factor

Example: find the equation of the function stretched vertically by a factor of 3 and horizontally by a factor of 2.

Section titled “Example: find the equation of the function stretched vertically by a factor of 3 and horizontally by a factor of 2.”

Example: find the equation of the function compressed vertically by a factor of \frac34 and stretched horizontally by a factor of \frac12.

Section titled “Example: find the equation of the function compressed vertically by a factor of \frac34 and stretched horizontally by a factor of \frac12.”