The table of values for f(x) = x³ and g(x) = x³ - 2 is shown. Now, use this information to complete the statements. Drop Down 2 A up 2 units Drop Down 4 x-values A x -4 -2 0 2 The graph of g(x) = x³ - 2 is a [DROPDOWN 1] of the graph of f(x) = x³. For the graph of f(x) = x³ to coincide with the graph of g(x) = x³ - 2, f(x) is shifted [DROPDOWN2]. The shift can be seen in the table of values, with [DROPDOWN3] the [DROPDOWN4] of f(x) for each corresponding [DROPDOWN5] in the table for g(x). Drop Down 1 A horizontal shift Drop Down 3 A 2 units being subtracted from Drop Down 5 A x-value f(x) = x³ B vertical shift B down 2 units B y-values B y-value f(x) -64 -8 0 8 с to the left 2 units B 2 units being added to D to the right 2 units x -4 -2 0 2 с 2 units being multiplied to g(x) = x³ - 2 D g(x) -66 -10 -2 6 2 units being divided from
The table of values for f(x) = x³ and g(x) = x³ - 2 is shown. Now, use this information to complete the statements. Drop Down 2 A up 2 units Drop Down 4 x-values A x -4 -2 0 2 The graph of g(x) = x³ - 2 is a [DROPDOWN 1] of the graph of f(x) = x³. For the graph of f(x) = x³ to coincide with the graph of g(x) = x³ - 2, f(x) is shifted [DROPDOWN2]. The shift can be seen in the table of values, with [DROPDOWN3] the [DROPDOWN4] of f(x) for each corresponding [DROPDOWN5] in the table for g(x). Drop Down 1 A horizontal shift Drop Down 3 A 2 units being subtracted from Drop Down 5 A x-value f(x) = x³ B vertical shift B down 2 units B y-values B y-value f(x) -64 -8 0 8 с to the left 2 units B 2 units being added to D to the right 2 units x -4 -2 0 2 с 2 units being multiplied to g(x) = x³ - 2 D g(x) -66 -10 -2 6 2 units being divided from
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 18RE: For the following exercises. based on the given graph, determine the zeros of the function and note...
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![The table of values for f(x) = x³ and g(x) = x³ – 2 is shown.
Drop Down 1
Now, use this information to complete the statements.
A
horizontal shift
Drop Down 2
A
up 2 units
The graph of g(x) = x³ – 2 is a [DROPDOWN 1] of the graph of ƒ(x) = x³. For the graph of f(x) = x³ to coincide with the graph of g(x) = x³ − 2, ƒ(x) is shifted
[DROPDOWN2]. The shift can be seen in the table of values, with [DROPDOWN3] the [DROPDOWN4] of f(x) for each corresponding [DROPDOWN5] in the table for g(x).
Drop Down 4
X
A x-values
-4
-2
0
2
Drop Down 5
Drop Down 3
A 2 units being subtracted from
A x-value
ƒ(x) = x³
vertical shift
B down 2 units
B y-values
B y-value
f(x)
-64
-8
0
8
с to the left 2 units
B 2 units being added to
D
to the right 2 units
X
C 2 units being multiplied to
-4
-2
0
2
g(x) = x³ – 2
D
g(x)
-66
-10
-2
6
2 units being divided from](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F445030e3-2c8f-480e-bee2-cc934744840a%2F92f41010-41cc-40ab-9a90-4daf6f869d17%2Fwz44rw_processed.png&w=3840&q=75)
Transcribed Image Text:The table of values for f(x) = x³ and g(x) = x³ – 2 is shown.
Drop Down 1
Now, use this information to complete the statements.
A
horizontal shift
Drop Down 2
A
up 2 units
The graph of g(x) = x³ – 2 is a [DROPDOWN 1] of the graph of ƒ(x) = x³. For the graph of f(x) = x³ to coincide with the graph of g(x) = x³ − 2, ƒ(x) is shifted
[DROPDOWN2]. The shift can be seen in the table of values, with [DROPDOWN3] the [DROPDOWN4] of f(x) for each corresponding [DROPDOWN5] in the table for g(x).
Drop Down 4
X
A x-values
-4
-2
0
2
Drop Down 5
Drop Down 3
A 2 units being subtracted from
A x-value
ƒ(x) = x³
vertical shift
B down 2 units
B y-values
B y-value
f(x)
-64
-8
0
8
с to the left 2 units
B 2 units being added to
D
to the right 2 units
X
C 2 units being multiplied to
-4
-2
0
2
g(x) = x³ – 2
D
g(x)
-66
-10
-2
6
2 units being divided from
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