Types of Functions and Transformations
Joyce Santos
Created on April 13, 2022
Over 30 million people create interactive content in Genially.
Check out what others have designed:
SOCCER GAME SUMMARY
Guide
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