Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 14PPS
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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
How is the graph of g(x)=f(kx) related to the graph of f when k = 5?
![AThe graph of g is a horizontal stretch of the graph of f.
B The graph of g is a vertical stretch of the graph of f.
The graph of g is a horizontal compression of the graph of f.
The graph of g is a vertical compression of the graph of f.
4. The graph of g is a stretch of the graph of f. Complete the
sentence with horizontal, vertical, x-axis, or y-axis.
The graph of g is a
of the graph of f away from the
stretch
f
-4
5. The graph of the function f(x) = \x – 51 + 1 models the shape of the cross-
section of a V-shaped trough. Which function(s) model the cross-section of
a trough with sides that are less steep than the sides of the trough modeled
by function f? Select all that apply.
A g(x) = 13x - 51+ 1
B g(x) = 2x - 51+ 1
© g) = - 5|+1
O g(x) =x - 51+ 1
E g(x) = - x - 5| + 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff44f8a97-36a7-4a5b-9a60-dec70bc37e3e%2F4728aeeb-0a49-469a-addb-f64c131c008b%2Ftofxef_processed.jpeg&w=3840&q=75)
Transcribed Image Text:AThe graph of g is a horizontal stretch of the graph of f.
B The graph of g is a vertical stretch of the graph of f.
The graph of g is a horizontal compression of the graph of f.
The graph of g is a vertical compression of the graph of f.
4. The graph of g is a stretch of the graph of f. Complete the
sentence with horizontal, vertical, x-axis, or y-axis.
The graph of g is a
of the graph of f away from the
stretch
f
-4
5. The graph of the function f(x) = \x – 51 + 1 models the shape of the cross-
section of a V-shaped trough. Which function(s) model the cross-section of
a trough with sides that are less steep than the sides of the trough modeled
by function f? Select all that apply.
A g(x) = 13x - 51+ 1
B g(x) = 2x - 51+ 1
© g) = - 5|+1
O g(x) =x - 51+ 1
E g(x) = - x - 5| + 1
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