ζ OBEY ZETA!

So anyways,

Lately in math we have been learning about Dilation and Translation of graphs. Lets start out with Translation (As I like it better)

1) Translations are when you move a graph along the x or y axis. Horizontal Translations occur when the number manipulating the equation is inside the parentheses ; such as f(x-3). A translation of this kind would cause the graph to move Positively 3 units across the X Axis. However, when such manipulations are outside of the parentheses f(x)-3, The graph moves Negatively along the y axis, in this case negative three units.

2) A Dilation is when a graph is stretched along the x or y axis. To make a graph stretch along the axis, you multiply the manipulation inside the Parentheses (eg. f(1/3x) ). This cause the graph to be three times wider than it was originally, as you have to take the reciprocal of the inside numbe. If you want to stretch the graph verticaly, the manipulative coeficent (is this the right term?) is put outside of the parentheses and the reciprocal is NOT taken. eg. 3f(x). This would cause the graph to be three times higher ( I think.... im still unsure on Dilations)

3) Some functions I have seen before that are coming up again are.....

1) f(x)=ax+b (linear Equations)

2) f(x)= ax^2+bx+c (quadriatic equations)

3) f(x)= 3^x (exponential function)

4) f(x)= x^3 (Power fuction)

Like I said, I am still a bit shaky on dilations... if someone could clear that up for me it would be great.

P.S .... the only real life graphs we did were that one work sheet, and there was a whole bunch of them... like the ferris wheel one.

Zach. 

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Posted by: Period1Phoenix    in: My entries

Modified on October 11, 2006 at 11:14 PM