Describe how the graph of g is obtained from the graph of f. (a) g(x, y) = f(x, y) + 5 shift 5 units in the positive x direction shift 5 units in the positive y direction O shift 5 units in the positive z direction O stretch vertically by a factor of 5 O reflect about the xy-plane (b) g(x, y) = 5f(x, y) O shift 5 units in the positive x direction O shift 5 units in the positive y direction O shift 5 units in the positive z direction O stretch vertically by a factor of 5 O reflect about the xy-plane
Describe how the graph of g is obtained from the graph of f. (a) g(x, y) = f(x, y) + 5 shift 5 units in the positive x direction shift 5 units in the positive y direction O shift 5 units in the positive z direction O stretch vertically by a factor of 5 O reflect about the xy-plane (b) g(x, y) = 5f(x, y) O shift 5 units in the positive x direction O shift 5 units in the positive y direction O shift 5 units in the positive z direction O stretch vertically by a factor of 5 O reflect about the xy-plane
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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Transcribed Image Text:Describe how the graph of g is obtained from the graph of f.
(a)
g(x, y) = f(x, y) + 5
shift 5 units in the positive x direction
shift 5 units in the positive y direction
shift 5 units in the positive z direction
As
O stretch vertically by a factor of 5
O reflect about the xy-plane
(b) g(x, y) = 5f(x, y)
O shift 5 units in the positive x direction
O shift 5 units in the positive y direction
O shift 5 units in the positive z direction
stretch vertically by a factor of 5
O reflect about the xy-plane
Transcribed Image Text:(c) g(x, y) = -f(x, y)
O shift 1 unit in the negative x direction
O shift 1 unit in the negative y direction
shift 1 unit in the negative z direction
reflect about the xz-plane
O reflect about the xy-plane
(d)
g(x, y) = 5 - f(x, y)
O reflect about the xy-plane then shift 5 units in the positive z direction
shift 5 units in the positive z direction then reflect about the xy-plane
O shift 5 units in the negative z direction and shrink vertically by a factor of 5
O shift 5 units in the negative z direction
O shrink vertically by a factor of 5
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