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BY JOYCE TREANOR
+ TRANSFORMATIONS
PARENT FUNCTIONS
TYPES OF PARENT FUNCTIONS
TRANSFORMATIONS
09
EXPONENTIAL
08
LOGARITHMIC
07
rational (inverse squared)
06
Rational (inverse)
05
RADICAL
04
CUBIC
03
QUADRATIC
02
ABSOLUTE VALUE
01
LINEAR
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Transcript

LINEAR

01

ABSOLUTE VALUE

02

QUADRATIC

03

CUBIC

04

RADICAL

05

Rational (inverse)

06

rational (inverse squared)

07

LOGARITHMIC

08

EXPONENTIAL

09

TRANSFORMATIONS

TYPES OF PARENT FUNCTIONS

PARENT FUNCTIONS

+ TRANSFORMATIONS

BY JOYCE TREANOR

1

Linear function

Absolute value

Home

y=x

2

Absolute Value

Quadratic

Linear

y= |x|

Cubic

Absolute value

3

quadratic function

y = x2

CUBIC

Radical

Quadratic

4

y = x3

Rational (Inverse)

Cubic

5

RADICAL

y = √

x

6

RATIONAL (INVERSE)

Rational (Inverse Squared)

Radical

y = 1

_

x

7

RATIONAL (INVERSE SQUARED)

Logarithmic

Rational(Inverse)

y = 1

x2

_

8

+ info

LOGARITHMIC

Constant

Rational (Inverse Squared)

y = logb (x), b >1Example: y = log2 (x)

Do you know what the notation below means? It means "as x approaches 0 from the right"

9

exponential

Transformations

Logarithmic

y = bx, b >1Example: y = 2x

+ info

Exponential

Example

Consider the quadratic function y=x2

Transform function 2 units to the right, and 1 unit down:

Function will turn into: y = (x-2)2-1

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