Explain how each graph is obtained from the graph of y = Fx). (a) y = fx) + 8 O Shift the graph 8 units downward. O Sift the graph 8 units upward. O Sift the graph 8 units to the right. O Stretch the graph horizontally and vertically by a factor of 8. O hift the graph 8 units to the left. (b) y = fx + 8) O Shift the graph 8 units downvard. O hift the graph 8 units to the right. O hift the graph 8 units upward. O Sretch the graph horizontally and vertically by a factor of 8. O Shift the graph 8 units to the left. (c) y = 8f(x) O tretch the graph vertically by a factor of 8. O Stretch the graph horizontally and vertically by a factor of 8. O hrink the graph horizontally by a factor of 8. O Shift the graph 8 units upward. O hift the graph 8 units to the left.

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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Explain how each graph is obtained from the graph of y = f(x).
(a) y = f(x) + 8
O hift the graph 8 units downward.
O Shift the graph 8 units upward.
O Shift the graph 8 units to the right.
O Sretch the graph horizontally and vertically by a factor of 8.
O Shift the graph 8 units to the left.
(b) y = f(x + 8)
O Shift the graph 8 units downward.
O Sift the graph 8 units to the right.
O Shift the graph 8 units upward.
O Stretch the graph horizontally and vertically by a factor of 8.
O Shift the graph 8 units to the left.
(c) y = 8f(x)
O Stretch the graph vertically by a factor of 8.
O Stretch the graph horizontally and vertically by a factor of 8.
O hrink the graph horizontally by a factor of 8.
O Shift the graph 8 units upward.
O Sift the graph 8 units to the left.
(d) y = f(8x)
O Shift the graph 8 units upward.
O hift the graph 8 units to the left.
O Stretch the graph horizontally and vertically by a factor of 8.
O hrink the graph horizontally by a factor of 8.
O Stretch the graph vertically by a factor of 8.
(e) y = -f(x) – 1
O First reflect the graph about the y-axis, and then shift it 1 unit downward.
O First reflect the graph about the x-axis, and then shift it 1 unit upvward.
O First reflect the graph about the y-axis, and then shift it 1 unit upvard.
First reflect the graph about the x-axis, and then shift it 1 unit left.
O First reflect the graph about the x-axis, and then shift it 1 unit downvard.
ef)
O Shrink the graph horizontally by a factor of 8.
O Sretch the graph horizontally by a factor of 8.
(f) y=
Stretch the graph horizontally and vertically by a factor of 8.
O Shrink the graph horizontally and vertically by a factor of 8.
O Stretch the graph vertically by a factor of 8.
Transcribed Image Text:Explain how each graph is obtained from the graph of y = f(x). (a) y = f(x) + 8 O hift the graph 8 units downward. O Shift the graph 8 units upward. O Shift the graph 8 units to the right. O Sretch the graph horizontally and vertically by a factor of 8. O Shift the graph 8 units to the left. (b) y = f(x + 8) O Shift the graph 8 units downward. O Sift the graph 8 units to the right. O Shift the graph 8 units upward. O Stretch the graph horizontally and vertically by a factor of 8. O Shift the graph 8 units to the left. (c) y = 8f(x) O Stretch the graph vertically by a factor of 8. O Stretch the graph horizontally and vertically by a factor of 8. O hrink the graph horizontally by a factor of 8. O Shift the graph 8 units upward. O Sift the graph 8 units to the left. (d) y = f(8x) O Shift the graph 8 units upward. O hift the graph 8 units to the left. O Stretch the graph horizontally and vertically by a factor of 8. O hrink the graph horizontally by a factor of 8. O Stretch the graph vertically by a factor of 8. (e) y = -f(x) – 1 O First reflect the graph about the y-axis, and then shift it 1 unit downward. O First reflect the graph about the x-axis, and then shift it 1 unit upvward. O First reflect the graph about the y-axis, and then shift it 1 unit upvard. First reflect the graph about the x-axis, and then shift it 1 unit left. O First reflect the graph about the x-axis, and then shift it 1 unit downvard. ef) O Shrink the graph horizontally by a factor of 8. O Sretch the graph horizontally by a factor of 8. (f) y= Stretch the graph horizontally and vertically by a factor of 8. O Shrink the graph horizontally and vertically by a factor of 8. O Stretch the graph vertically by a factor of 8.
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