Function Families Worksheet #2
Algebra 2: Absolute Value
6roph eoch"fomily" bf eguotlonson o grophingcolculofor. Try to discoverwhat
mokeseochonedifferent. Thentry to sketchthem on the coordinoteplone. Use
ditferent colorsto differentiatebetween the equotions.Besure to comporethe
parts of the eguotlonto the groph.Then,in your notibook, write whct you hcve
discoveredoboutthe eguotions.
1 . f ( x ) = l t (|
f(x=
) lxl+1
f(x)=lxl-4
f(x)=lxl+3
5 .f ( x ) = - l x l + 1
f ( x ) = - l x +|1
f(x)=-lx-31
f(x)=-lxl-3
Pg't
6.f(x)=lx+ll*2
f ( x ) - l x+ 1 l - 2
f ( x=) l x - ' l | + 2
f ( x ) = l x - |1- 2
2 . t ( x r =l x + 2 1
( x ) =| x - 2|
f ( x ) =l x + 5 1
f ( x ) =l x - 3 1
For eocheguotionbelow.identify fhe coordinotesof the vertex of the groph.
Do this withoutoctuollygrophing.
3. f(x)= 10.5xI
f(x)=l2xl
f(x)= | 3xl
f(x)= l6x I
4. f(x)= lx + 4l
f ( x ) = l x l+ 4
f(x)=-lx+41
f ( x ) = - l x+
l4
1.f(x)=l6xl
2 . f ( x ) =- l 2 x l
venex:--
vertex:---
3 . f ( x =) l x + 7 ;
a . f ( x ) =l x l - 9
vertex:_
verl€x:
5. f(x)=lx+81
6.f(x)=lx-61+8
verl€x:_-
v€nex:
7 . f ( x ) =l x + 1 0l . + 1 2
8. f(x)=lx+71-8
vertex:_.
vgrtex:
pg,2