The graphs of y= = f(x), y = g(x), y = h(x), and y -12 h(x) -8 m(x) -4 g(x) 8 f(x) -4 Y 4 = m(x) are shown. 8 X Use the information in the graph to determine which statements are true. Select all that apply. The graph of g(x) is a vertical shift 3 units down from f(x). For the graph of f(x) to coincide with the graph of h(x), f(x) must be shifted 3 units to the left. The graph of m(x) is a horizontal shift of 3 units to the left from f(x). For the graph of h(x) to coincide with the graph of g(x), h(x) must be shifted 6 units down. The graph of h(x) is a vertical shift 4 units down from m(x). For the graph of g(x) to coincide with the graph of f(x), g(x) must be shifted 3 units up.
The graphs of y= = f(x), y = g(x), y = h(x), and y -12 h(x) -8 m(x) -4 g(x) 8 f(x) -4 Y 4 = m(x) are shown. 8 X Use the information in the graph to determine which statements are true. Select all that apply. The graph of g(x) is a vertical shift 3 units down from f(x). For the graph of f(x) to coincide with the graph of h(x), f(x) must be shifted 3 units to the left. The graph of m(x) is a horizontal shift of 3 units to the left from f(x). For the graph of h(x) to coincide with the graph of g(x), h(x) must be shifted 6 units down. The graph of h(x) is a vertical shift 4 units down from m(x). For the graph of g(x) to coincide with the graph of f(x), g(x) must be shifted 3 units up.
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:The graphs of y = f(x), y = g(x), y = h(x),and y = m(x) are shown.
-12
h(x)
-8
m(x)
-4
g(x)
8
f(x)
Y
+x
Use the information in the graph to determine which statements are true.
Select all that apply.
The graph of g(x) is a vertical shift 3 units down from f(x).
For the graph of f(x) to coincide with the graph of h(x), f(x) must be shifted 3 units to the left.
The graph of m(x) is a horizontal shift of 3 units to the left from f(x).
For the graph of h(x) to coincide with the graph of g(x), h(x) must be shifted 6 units down.
The graph of h(x) is a vertical shift 4 units down from m(x).
For the graph of g(x) to coincide with the graph of f(x), g(x) must be shifted 3 units up.
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