Tuesday, September 14, 2010

Lesson 4 - Dilations

y = f(x) which goes to ky= f(x)

The graph will stretch or compress by 1/k
The graph compresses if the number is whole and stretches if it is a fraction.
This will make stretch/ compress vertically


y= f(x) which goes to y= f(kx)

The graph will horizontally stretch or compress by 1/k

examples:
y= f( 1/2x)   there will be a hor. stretch by 2
2y= | x |  divide by 2, giving you y= 1/2 | x | which means there will be a vertical comp. by 1/2

NOTE:  Horizontal compression or stretch deals only with x  and Vertical compression or stretch will deal only with y. Compression is a fraction and Stretch is a whole number.

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