1. what is the domain -2~x~2 -3~x~3 @-4~x~4 -5~x~5

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2. What is the range of the function shown in the graph? 1. What is the domain of the function shown in the graph? a. -2~x~2 b. -3~x~3 @-4~x~4 d. -5~x~5 (EJ [-4,00) b. [-2,00) c. [2,00) d. (-00,00) ~ 3. What is the range of f(x) = X2 - 6? ., A. (-00,00) B', [0,00)- (() [-6,cxi) D. [-~;,-6] 1) 4. Whic~. of transformation can be used to obtain the graph of g(x)=4(2x) ~egraph of f(x)=2 X A. Compress B. Vertical shift down C. Vertical shift up cg:::>Stretch 'B 5. Wh:h1best describes how the graph of the function y = _X2 was transformed to produce the graph shown? \ ". ~ Translation 2 units right end 2 units up (!../Translation 2 units right and 2 units down C. Translation 2 units left and 2 units up D. Translation 2 units left and 2 units down

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Page 1: 1. What is the domain -2~x~2 -3~x~3 @-4~x~4 -5~x~5

2. What is the range of the function shown in the graph?

1. What is the domain of the function shown in the graph?a. -2~x~2b. -3~x~3

@-4~x~4d. -5~x~5

(EJ [-4,00)b. [-2,00)c. [2,00)d. (-00,00)

~ 3. What is the range of f(x) = X2 - 6 ?., A. (-00,00)

B', [0,00)-(() [-6,cxi)D. [-~;,-6]

1) 4. Whic~. of transformation can be used to obtain the graph ofg(x)=4(2x) ~egraph of f(x)=2X

A. CompressB. Vertical shift downC. Vertical shift up

cg:::>Stretch

'B 5. Wh:h1best describes how the graph of the function y = _X2 wastransformed to produce the graph shown? \

".

~ Translation 2 units right end 2 units up(!../Translation 2 units right and 2 units down

C. Translation 2 units left and 2 units upD. Translation 2 units left and 2 units down

Page 2: 1. What is the domain -2~x~2 -3~x~3 @-4~x~4 -5~x~5

A 6. Which of the following is a correct description of the ~n and range ofthe function g(x) = 3.J x - 2 + 4 ?

@x ?:. 2; y?:. 4B. x < 2; y?:. 4

c. x >2; y < 4D. x:::;2; y:::;4

7. Y = g(x) y= g(X + 2) - 1

'II' """

J\ I ,If ,

JI ,

~ J . RI -

II

I-

~ '\J J 1\

II \1J II x--

~ 2

I

III

\

8. y=-3Jx-2+4 re£.\ecl- OVe..¥ ~ Q. ,\LLSj

J --lAf t.t U-r{l -\:.~

Page 3: 1. What is the domain -2~x~2 -3~x~3 @-4~x~4 -5~x~5

.r. =,...- - S up, and reflected across the x-axis.- V ~+'2.

~~ __~ __~.- interval notation__...:.....----=.---;.----.~------- interva I notation

t e graph of the function, I(x) = -Ix - 21 +1.

...~

12.

omcin: ~=~:::- __ -".....,.-__

Range:~~ __ -T _

13.

I,

I I

I'I,!' I

" I

! j

iI'11

I,

! ; ::

I' "I' "I' "! ;;

: ;; !

i ; ;

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lI I I I

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; ~ !! II

i i ; I 1I , "

l::Ll !" I~$t=~t~Rl-.;iif-,+ -H

Page 4: 1. What is the domain -2~x~2 -3~x~3 @-4~x~4 -5~x~5

·1

15.Graph each equation. Give the vertex, parent function, domain and range.

16.

-+ -H'-+,' 'I'-H++I, I

17. Y = - 4x + 5 )Vertex: (0,5PF: \ ihear of' l~) = )!.Domain: (- 01:'. 'Qc:) )

Range: ~oO)It-

I Ii! i: ; !

i : i I Ii; I

.., ! iI·

i:! I

, i

, Ii

j : j1 i! ! I! !

. I

·WEtt·'- I .\

H+++-·_·-I I I !

18. Y = .Jx + 5

Range: ='-F--I

H-+ + --I'!I Ii iI III Ii

I

Page 5: 1. What is the domain -2~x~2 -3~x~3 @-4~x~4 -5~x~5

Identify the parent function name, equation, and describe the transformation for eachfunction. ' [19. g(x) = 3(x-1)2 - 6

Parent Function: fi....:......-( ..L....:....---;.-_-+- uarJro {tvTransformation: r r t ,emw (0 .m.t::kbv1.

(":~:~n:Eiif!-Range [-<0, ~ rq~)~mTia~20. f(x) = (3x-2) - llx

Parent Function: _

Tronsformction: _

Domain: Range: _

.=,,-.---i-----:i'--- Range:-='-'--i----,J1----

22. Describe the transformation of the given function using complete sentences.

2[ex) =--4+ 6x-