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U1L3 Absolute Value Functions

Last updated 4 months ago
13 questions
1

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

1

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

5
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)
5
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
5
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
5
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 _______
7
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

13. f(7)=_______ f(-9)=_______ f(s)=_______ f(s-t)=_______
17. g(7)=_______ g(-9)=_______ g(s)=_______ g(s-t)=_______
21. h(7)=_______ h(-9)=_______ h(s)=_______ h(s-t)=_______
25. 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_______
1
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._______