# Chapter 2

**Created:**2011-09-20

**Last Modified:**2011-09-20

#### Related Textbooks:

Precalculus: Enhanced with Graphing Utilities (5th Edition)substitution of one function into another

f(g(x))

Function denotation

*times*g(x)

add k to each y-cordinate of y=f(x) and raise the graph of f by k units

y=f(x) + k

subtract k from each y-cordinate of y=f(x) and lower the graph of f by k units

y=f(x) - k

Subtract h from each x-cordinate of y=f(x) and shift the graph of f to the left h units

y=f(x-h)

Add h to each x-cordinate of y=f(x) and shift the graph of f to the right h units

y+f(x+h)

multiply each y-cordinate of y=f(x) by -1, reflect the graph of f about the x-axis

y=-f(x)

multiply each x-cordinate of y=f(x) by -1, reflect the graph of f about the y-axis

y=f(-x)

^{2}=4 What is the base function

^{2}

f(x)=mx+b

a straight line that passes the vertical line test

f(x)=b

a strait horizontal line

f(x)=x^{2}

looks like a U

f(x)=x^{3}

looks kindave like and S

f(x)= 1/x

looks like a half moon facing away from the origin in the 2cd and 3rd quarters of the graph

f(x) IxI

looks like a V

the slope of two points (otherwise known as the slope of the secant line)

f(x)-f(c)

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x-c

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