U1L3 Absolute Value Functions

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

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

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

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.

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))=

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.