Types of Functions and Transformations
Joyce Santos
Created on April 13, 2022
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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