The graph of f(in blue) is translated a whole number of units horizontally and vertically to obtain the graph of k (in red). The function is defined by f(x)=√x. Write down the expression for k (x). 2
The graph of f(in blue) is translated a whole number of units horizontally and vertically to obtain the graph of k (in red). The function is defined by f(x)=√x. Write down the expression for k (x). 2
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Knowledge Check: Graph Translation**
**Question 9**
The graph of \( f \) (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of \( k \) (in red).
The function \( f \) is defined by \( f(x) = \sqrt{x} \).
Write down the expression for \( k(x) \).
[Graph Description]
The graph shows two functions on a coordinate grid. The blue graph represents \( f(x) = \sqrt{x} \), which is a square root function starting at the origin (0,0) and extending to the right. The red graph shows the translated function \( k(x) \), which appears to be shifted to the right and upwards relative to the blue graph.
**Input Fields**
\( k(x) = \) [input box]
Options to input various mathematical components such as numbers, square roots, and basic operations.
**Tools**
- Option to reset
- "I Don't Know" button
- Submit button](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1342455-963e-4044-b72a-071ab9e59c17%2Fb716e0db-3d71-4180-b6cb-3cbee6f28045%2Fl6sdist_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Knowledge Check: Graph Translation**
**Question 9**
The graph of \( f \) (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of \( k \) (in red).
The function \( f \) is defined by \( f(x) = \sqrt{x} \).
Write down the expression for \( k(x) \).
[Graph Description]
The graph shows two functions on a coordinate grid. The blue graph represents \( f(x) = \sqrt{x} \), which is a square root function starting at the origin (0,0) and extending to the right. The red graph shows the translated function \( k(x) \), which appears to be shifted to the right and upwards relative to the blue graph.
**Input Fields**
\( k(x) = \) [input box]
Options to input various mathematical components such as numbers, square roots, and basic operations.
**Tools**
- Option to reset
- "I Don't Know" button
- Submit button
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