U1L3 Absolute Value Functions

Last updated 6 months ago

13 questions

2.5

1.5

7.5

3.5

U1L3 Absolute Value Functions

Last updated 6 months ago

13 questions

MVP Page 44
Write the absolute value equation form of the function represented in the table.
Include f(x)= or y= for equations.

MVP Page 44
Write the absolute value equation of the graph pictured below. Include f(x)= or y=for equations.

MVP Page 45
Graph the absolute value function 

Vertex: _______    Domain: _______    Range: _______ 

Describe the translation of f(x)=|x| to g(x)
Reflection
Type the words  "over x"; "over y"; or "none" _______ 

Vertical stretch, compression, or none
There was a vertical stretch/compression/none _______ 

Horizontal translation
Direction: left, right, or none _______ 
Distance:  _______  units (input the # of units of horizontal translation)

Vertical translation
Direction: up, down, or none _______   
Distance:  _______  units  (input the # of units of vertical translation)

MVP Page 45
Graph the absolute value function 

Vertex  _______   Domain: _______   Range: _______ 

Describe the translation of f(x)=|x| to g(x)
Reflection: type over x; over y; or none _______ 

Vertical stretch, compression, or none _______  

Horizontal translation : _______ by _______  units 

Vertical translation: _______   by _______  units 

MVP Page 46
Graph the absolute value function showing points and using arrows.

Vertex  _______     Domain: _______      Range: _______ 

Describe the translation of f(x)=|x|
Reflection: type "over x"; over y; or none _______ 

Vertical " stretch, compression, or none" _______  by a factor of _______ 

Horizontal translation : _______ by _______  units 

Vertical translation: _______   by _______  units

MVP Page 46
Graph the absolute value function r(x)=3|x-4|-6 
Vertex  _______     Domain: _______      Range: _______ 

Describe the translations of f(x)=|x| to r(x)

Reflection: type "over x"; "over y"; or "none _______ 

Vertical " stretch, compression, or none" _______  by a factor of _______ 

Horizontal translation : _______ by _______  units 

Vertical translation: _______   by _______  units 

2.5

MVP Page 46
Use the graph of the absolute value function to answer the following.

Vertex:  _______   Domain: _______   Range: _______ 
Vertical stretch/compression.  Input the value a=_______  
Input the function equation _______

2.5

MVP Page 46
Use the graph of the absolute value function to answer the following.  

Vertex  _______   Domain: _______   Range: _______ 
Vertical stretch/compression.  Input the value a=_______  
Input the function equation _______

1.5

Graphing Absolute Value Quadratics - classwork/notes example

Type f(x), g(x) or h(x):  The green is _______ , Black is _______ ; Red is _______ 

Graphing Absolute Value Quadratics:


f(x) 
a) List the ordered pairs of the three points on the left side of the vertex of f(x).  List these from left to right.
 _______ _______ _______ 

b) Vertex of f(x)=_______ 

c) List the ordered pairs of the three points on the right side of the vertex of f(x). List these from left to right. _______ _______ _______ 

g(x) 
a) List the ordered pairs of the three points on the left side of the vertex for g(x). List these from left to right.  
_______ _______ _______ 

b) vertex of g(x)=_______ 

c) List the ordered pairs of the three points on the right side of the vertex of g(x).  List these from left to right.  _______ _______ _______ 

7.5

MVP Page 68

 f(7)=_______   f(-9)=_______   f(s)=_______   f(s-t)=_______ 
 g(7)=_______   g(-9)=_______   g(s)=_______  g(s-t)=_______ 
 h(7)=_______   h(-9)=_______   h(s)=_______  h(s-t)=_______ 
 f(g(x))=_______   26. f(h(x))=_______  27.  g(f(x))=_______ 

3.5

Graphing Absolute Value Quadratics 

Input the equation for g(x) here _______ 

Enter x intercept(s) as (#,#) or if more than one, use a comma to enter  (#,#),(#,#)
f(x) vertex:  _______  f(x) x-intercept(s) _______  f(x) y-intercept _______ 
g(x) vertex: _______  g(x) x-intercept(s)_______   g(x) y-intercept_______ 

Graphing Absolute Value Quadratics Investigation

Make a table of values for f(x) and g(x) using the same x values.
True or false:  f(x)=g(x)_______  
Is f(x) or g(x) shown below in orange? If not, put neither._______  

U1L3 Absolute Value Functions

U1L3 Absolute Value Functions

MVP Page 44Write the absolute value equation form of the function represented in the table. Include f(x)= or y= for equations.

MVP Page 44Write the absolute value equation of the graph pictured below. Include f(x)= or y=for equations.

MVP Page 44Write the absolute value equation form of the function represented in the table. Include f(x)= or y= for equations.

MVP Page 44Write the absolute value equation of the graph pictured below. Include f(x)= or y=for equations.

MVP Page 44
Write the absolute value equation form of the function represented in the table.
Include f(x)= or y= for equations.

MVP Page 44
Write the absolute value equation of the graph pictured below. Include f(x)= or y=for equations.

MVP Page 44
Write the absolute value equation form of the function represented in the table.
Include f(x)= or y= for equations.

MVP Page 44
Write the absolute value equation of the graph pictured below. Include f(x)= or y=for equations.