f(x) = 0 X Olo
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![**Graphs and Functions: Writing an Equation for a Function After a Vertical Translation**
The function \( h \) is defined as follows:
\[ h(x) = 4x^2 + 4 \]
If the graph of \( h \) is translated vertically downward by 3 units, it becomes the graph of a function \( f \).
**Find the expression for \( f(x) \).**
Note that the [ALEKS graphing calculator](insert_link_here) may be helpful in checking your answer.
\[ f(x) = \underline{\hspace{1cm}} \]
**Explanation:**
To translate the function \( h(x) = 4x^2 + 4 \) downward by 3 units, subtract 3 from the entire function. Therefore, the expression for \( f(x) \) will be:
\[ f(x) = 4x^2 + 4 - 3 \]
\[ f(x) = 4x^2 + 1 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01a3e116-2316-49e5-843e-67526366cfac%2F60ba7159-c047-4bd0-a695-f2b9c911b52c%2Fe26u0r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Graphs and Functions: Writing an Equation for a Function After a Vertical Translation**
The function \( h \) is defined as follows:
\[ h(x) = 4x^2 + 4 \]
If the graph of \( h \) is translated vertically downward by 3 units, it becomes the graph of a function \( f \).
**Find the expression for \( f(x) \).**
Note that the [ALEKS graphing calculator](insert_link_here) may be helpful in checking your answer.
\[ f(x) = \underline{\hspace{1cm}} \]
**Explanation:**
To translate the function \( h(x) = 4x^2 + 4 \) downward by 3 units, subtract 3 from the entire function. Therefore, the expression for \( f(x) \) will be:
\[ f(x) = 4x^2 + 4 - 3 \]
\[ f(x) = 4x^2 + 1 \]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning