Stretches and Compressions

Hello everyone!

On Monday we've learned how to do the Stretches and Compression. We started with:

Vertical Stretches and Compressions

y=af(x) it stretches the entire graph Vertically by a factor of "a" units. a>1

y= 1/2f(x) it compresses the entire graph Vertically by a factor of "a" units. a<1

We call "a" Vertical stretch/ compression. The coordinates of the points (x,y) translate to (x,ay) or (x,1/a y). The value of x does not change. And you also read the value of "a" as is.

Horizontal Stretches and Compressions

y=f(bx) it compresses the entire graph Horizontally by a factor of "b" units. b>1

y=f(1/bx) it stretches the entire graph Horizontally by a factor of "b" units. b<1.

We call "b" Horizontal Stretch/ compression. the coordinates of the points (x,y) translate to (bx,y) or (1/bx, y). The value of y doen not change. And you also read the value of "b" as opposite.

For Example:

f(2x)= Multiply X values by 1/2 or Divide X values by 2

f(1/2x)= Divide X value by 1/2 or Multiply X value by 2

This is one example of the graph we did in class.