Given the graph of g(x) graph the stated transformations? 2. Given the graph of f(x), graph g(x) on the axis  3. Graph the parent funtion f(x) list the transformations on f(x) to get g(x) and then graph the transformed graph g(x) a. f(x)=x2 ;g(x)=(x-3)2-4

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. Given the graph of g(x) graph the stated transformations?

2. Given the graph of f(x), graph g(x) on the axis 

3. Graph the parent funtion f(x) list the transformations on f(x) to get g(x) and then graph the transformed graph g(x)

a. f(x)=x2 ;g(x)=(x-3)2-4

b. f(x)=x2 ;g(x)=-2(x-3)2-4

c. f(x)=|x|; g(x)=-1/2|x-2|+1

d. f(x)=sqrt(x); g(x)=4sqrt(x+3)-2 

 

8. Transformations (1).pdf
Trans:
Q
(-2,-2)
(1,0)
(0, -2)
164%
2.
Given the graph of f(x), graph g(x) on the same set of axes. Describe (in words) the transformations
and show what happens to the four labeled points. Label the four "new" points on each graph.
a. g(x) = 2f(x) + 1
c.
g(x) = 2f(-x + 3) +1
b. g(x) = f(x + 1) − 4
O
(3,1)
5
3 / 4
31
Trans:
TT
(-2,-2)
(1,0)
5
(0, -2)
d. g(x) = -2f(x + 1) - 4
टे
(3, 1)
Sep 17
03:46
US
:
Transcribed Image Text:8. Transformations (1).pdf Trans: Q (-2,-2) (1,0) (0, -2) 164% 2. Given the graph of f(x), graph g(x) on the same set of axes. Describe (in words) the transformations and show what happens to the four labeled points. Label the four "new" points on each graph. a. g(x) = 2f(x) + 1 c. g(x) = 2f(-x + 3) +1 b. g(x) = f(x + 1) − 4 O (3,1) 5 3 / 4 31 Trans: TT (-2,-2) (1,0) 5 (0, -2) d. g(x) = -2f(x + 1) - 4 टे (3, 1) Sep 17 03:46 US :
8. Transformations (1).pdf
-10
Trans:
g(x):
(-6, 0)
-5
0
1. Given the graph of g(x), graph the stated transformations on the same set of axes. List the type of
transformation(s) you apply to the graph. For example, the first one is "down 3."
a. j(x) = g(x) — 3
10-
y
8-
6
4
(0, 2) 2
(-4, -3)-2²
(-2,-4)
-6
1 Q 174%
-8
-10-
C
(3, 3)
5
31
X
10
1 / 4
Ⓒ
B3
-10
b, j(x) = g(x − 3)
g(x):
TT
(-6, 0)
Trans:
8
-5
10.
y
8+
6
(0, 2) 20
(-4,-3)-2-
(-2,-4)
--6-
--8-
Dè
**
5
(3, 3)
40)
5
EJ
X
10
Sep 17
03:45
US
@X
:
Transcribed Image Text:8. Transformations (1).pdf -10 Trans: g(x): (-6, 0) -5 0 1. Given the graph of g(x), graph the stated transformations on the same set of axes. List the type of transformation(s) you apply to the graph. For example, the first one is "down 3." a. j(x) = g(x) — 3 10- y 8- 6 4 (0, 2) 2 (-4, -3)-2² (-2,-4) -6 1 Q 174% -8 -10- C (3, 3) 5 31 X 10 1 / 4 Ⓒ B3 -10 b, j(x) = g(x − 3) g(x): TT (-6, 0) Trans: 8 -5 10. y 8+ 6 (0, 2) 20 (-4,-3)-2- (-2,-4) --6- --8- Dè ** 5 (3, 3) 40) 5 EJ X 10 Sep 17 03:45 US @X :
Expert Solution
Step 1

As per the guidelines I am supposed to do the first question among multiple questions. So here I am doing question number 1. To get the solution to the remaining question please repost it separately as another question. Thank you.

Given: the graph of gx:

Algebra homework question answer, step 1, image 1

To Find: graph the transformed function 

  1. jx=gx-3.
  2. jx=gx-3

Concept used:

Transformation Rule
Function Type of Transformation Change to Coordinate Point
gx-k Vertical shift down k units x,yx,y-k
gx-k Horizontal shift right k units x,yx+k,y

 

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