Looking Back At The Last Week

I am looking forward, thinking back times by flickr user HAMED MASOUMI

FUNCTIONS

FUNCTIONSodd even

Stretches and Compressions:

The role of parameter a:a > 1 the graph of ƒ(x) is stretched vertically.0 < |a| < 1 the graph of ƒ(x) is compressed vertically.- the y-coordinates of ƒ are multiplied by a.

The role of parameter b:b > 1 the graph of ƒ(x) is compressed horizontally.(Everything "speeds up")0<|b|<1 the graph of ƒ(x) is stretched horizontally. (Everything "slows down")- the x-coordinates are multiplied by .

Examples

Putting it all together ...

y = ƒ(x)

REMEMBER: stretches before translations

Try these examples ...

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Don't Look Behind Here

Practice what you've learned ...

The coordinates of a point, A, on the graph of y = ƒ(x) are (-2, -3). What are the coordinates of it's image on each of the following graphs:

The image of point B after each transformation shown above is given below as point C(n). Find the original coordinates of B.

C1 (2, 3) C3 (5, -4)C2 (-3, 7) C4 (-1, 6) C5 (-4, -2)

Consider the equation below. Which transformation do you think should be applied first? second? third? fourth?