Anyone Good With Algebra 2?

**programx86** · June 13th 2012, 01:23 PM

Wanted to see if anyone here was good with algerbra 2 and would be able to get on join.me and help me take assignments on it.

Currently going over:

-Reflections and Translations
-Stretches and Compressions
-Composition of Functions

**robbiecee2** · July 10th 2012, 06:50 AM

-Reflections and Translations

Graph Reflections & Transformations:
$f(x)+a$ shifts the graph up a units for positive values of a, and shifts down for negative values of a.
$f(x+1)$ shifts the graph LEFT for positive values of a, and shifts RIGHT for negative values of a.
$-f(x)$ reflects graph in x-axis
$f(-x)$ reflects graph in y-axis

-Stretches and Compressions

Graph Stretches & Compression:
$kf(x)$ scales the graph vertically. i.e. stretches if k>1 and compresses if k<1
$f(kx)$ scales the graph horizontally. i.e compresses if k>1 and stretches if k<1

-Composition of Functions

Composite functions example:
$f(x)=x^2 -1, g(x)=3x-4$
$f(g(x))$
$=f(3x-4)$
$=(3x-4)^2 +1$

$g(f(x))$
$=g(x^2 +1)$
$=3(x^2 +1)-4$

you can check out my videos for help, at robbiecee2 - YouTube

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