hat ylelds the graph of g. f(x)-13%, g(x) - 13-x- 3 Step 1 Rewrite the function g in terms of function f. g(x) - f-x -3 -x- 3 Step 2 Recall that if f(x) = a*: the graph of g(x) = a¯× = f(-x), where b> 0, is obtained by reflecting the graph of f in the y-axis; the graph of g(x) = -a* = -f(x), where b > 0, is obtained by reflecting the graph of f in the x-axis; the graph of g(x) = a* + b = f(x) + b, where b> 0, is obtained by shifting the graph of fb units upward; the graph of g(x) = ax -b = f(x - b), where b > 0, is obtained by shifting the graph of fb units to the right. Determine the transformations for g(x) = r(-x - 3) = r(-(| I then shifting The graph of g can be %3D obtained by reflecting the graph of f in the y-axis left
hat ylelds the graph of g. f(x)-13%, g(x) - 13-x- 3 Step 1 Rewrite the function g in terms of function f. g(x) - f-x -3 -x- 3 Step 2 Recall that if f(x) = a*: the graph of g(x) = a¯× = f(-x), where b> 0, is obtained by reflecting the graph of f in the y-axis; the graph of g(x) = -a* = -f(x), where b > 0, is obtained by reflecting the graph of f in the x-axis; the graph of g(x) = a* + b = f(x) + b, where b> 0, is obtained by shifting the graph of fb units upward; the graph of g(x) = ax -b = f(x - b), where b > 0, is obtained by shifting the graph of fb units to the right. Determine the transformations for g(x) = r(-x - 3) = r(-(| I then shifting The graph of g can be %3D obtained by reflecting the graph of f in the y-axis left
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
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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Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.
Question
![Use the graph of f to describe the transformation that ylelds the graph of g.
(x) 13%,
g(x) - 13-x -3
Step 1
Rewrite the function g in terms of function f.
g(x) = f-x-3
-I- 3
Step 2
Recall that if f(x) = a*:
the graph of g(x) = a¯X = f(-x), where b> 0, is obtained by reflecting the graph of f in the y-axis;
the graph of g(x) = -ax = -f(x), where b > 0, is obtained by reflecting the graph of f in the x-axis;
the graph of g(x) = ax + b = f(x) + b, where b > 0, is obtained by shifting the graph of f b units
upward;
the graph of g(x) = a* -b = f(x - b), where b > 0, is obtained by shifting the graph of fb units to
the right.
The graph of g can be
Determine the transformations for g(x) =
then shifting
obtained by reflecting the graph of f in the y-axis
units
to the left
Enter an exact number.
Submit
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Transcribed Image Text:Use the graph of f to describe the transformation that ylelds the graph of g.
(x) 13%,
g(x) - 13-x -3
Step 1
Rewrite the function g in terms of function f.
g(x) = f-x-3
-I- 3
Step 2
Recall that if f(x) = a*:
the graph of g(x) = a¯X = f(-x), where b> 0, is obtained by reflecting the graph of f in the y-axis;
the graph of g(x) = -ax = -f(x), where b > 0, is obtained by reflecting the graph of f in the x-axis;
the graph of g(x) = ax + b = f(x) + b, where b > 0, is obtained by shifting the graph of f b units
upward;
the graph of g(x) = a* -b = f(x - b), where b > 0, is obtained by shifting the graph of fb units to
the right.
The graph of g can be
Determine the transformations for g(x) =
then shifting
obtained by reflecting the graph of f in the y-axis
units
to the left
Enter an exact number.
Submit
Skip (you cannot come back)
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