Complete the transformation chart below for f(x) = |x|. Use the word bank on the other side of this page to describe each transformation, g(x). The first row is done as an example. Transformation Absolute Value Change in Range? (yes or no) Is the Equation Function Description Vertex vertex a max/min? EX g(x) = f(x - 3) 9(x) = Ix - 31 Right 3 No (3,0) Min 7. g(x) = f(x) - 2 8. g(x) = 5f(x) 9. Translate to the left 4 and down 7. 10. Reflect over the x-axis, vertically compress by .

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Complete the transformation chart below for f(x) = |x]. Use the word bank on the other side of this page
to describe each transformation, g(x). The first row is done as an example.
Transformation
Absolute Value
Change in
Range?
Is the
Equation
Function
Description
Vertex
vertex a
(yes or no)
max/min?
EX
g(x) = f(x - 3)
9(x) = Ix 31
Right 3
No
(3,0)
Min
7.
g(x) = f(x) - 2
8.
g(x) = 5f(x)
9.
Translate to the left 4 and
down 7.
10.
Reflect over the x-axis,
vertically compress by .
: yes
: no
: max
: min
: up 2
: down 2
:: left 2
: right 2
: vertical stretch by 5
:: vertical compression by 5
:: up 5
: (0, -2)
:: (0, 0)
:: (5, 0)
: (1, -2)
:: (-4, -7)
: (4, -7)
: (-1, 0)
: g(x) = f(x - 4) - 7
: g(x) = f(x + 4) - 7
:: g(x) = -1/3f(x)
: g(x) = f(x) -1/3
: g(x) = 5|x|
: g(x) = |x - 5|
: g(x) = x- 4|- 7
: g(x) = x + 4|- 7
: g(x) = |x - 2|
: g(x) = |x| - 2
: g(x) = -1/3|x|
: g(x) = |x| - 1/3
Transcribed Image Text:Complete the transformation chart below for f(x) = |x]. Use the word bank on the other side of this page to describe each transformation, g(x). The first row is done as an example. Transformation Absolute Value Change in Range? Is the Equation Function Description Vertex vertex a (yes or no) max/min? EX g(x) = f(x - 3) 9(x) = Ix 31 Right 3 No (3,0) Min 7. g(x) = f(x) - 2 8. g(x) = 5f(x) 9. Translate to the left 4 and down 7. 10. Reflect over the x-axis, vertically compress by . : yes : no : max : min : up 2 : down 2 :: left 2 : right 2 : vertical stretch by 5 :: vertical compression by 5 :: up 5 : (0, -2) :: (0, 0) :: (5, 0) : (1, -2) :: (-4, -7) : (4, -7) : (-1, 0) : g(x) = f(x - 4) - 7 : g(x) = f(x + 4) - 7 :: g(x) = -1/3f(x) : g(x) = f(x) -1/3 : g(x) = 5|x| : g(x) = |x - 5| : g(x) = x- 4|- 7 : g(x) = x + 4|- 7 : g(x) = |x - 2| : g(x) = |x| - 2 : g(x) = -1/3|x| : g(x) = |x| - 1/3
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