The graph of y = f(x) is given. Match each equation with its graph and give reasons for your choices. y 10 5 - 10 -5 10 -5 - 10 (a) y = f(x - 4) O Graph 1: The graph of f is shifted 4 units upward. O Graph 2: The graph of f is shifted 4 units to the left and stretched vertically by a factor of 4. O Graph 3: The graph of f is shifted 4 units to the right. O Graph 4: The graph of f is compressed vertically by a factor of 4. O Graph 5: The graph off is shifted 4 units to the left and reflected about the x-axis. (b) y = f(x) + 3 O Graph 1: The graph of f is shifted 3 units upward. O Graph 2: The graph of f is shifted 3 units to the left and stretched vertically by a factor of 3. O Graph 3: The graph of f is shifted 3 units to the right. O Graph 4: The graph of f is compressed vertically by a factor of 3. O Graph 5: The graph of f is shifted 3 units to the left and reflected about the x-axis.
The graph of y = f(x) is given. Match each equation with its graph and give reasons for your choices. y 10 5 - 10 -5 10 -5 - 10 (a) y = f(x - 4) O Graph 1: The graph of f is shifted 4 units upward. O Graph 2: The graph of f is shifted 4 units to the left and stretched vertically by a factor of 4. O Graph 3: The graph of f is shifted 4 units to the right. O Graph 4: The graph of f is compressed vertically by a factor of 4. O Graph 5: The graph off is shifted 4 units to the left and reflected about the x-axis. (b) y = f(x) + 3 O Graph 1: The graph of f is shifted 3 units upward. O Graph 2: The graph of f is shifted 3 units to the left and stretched vertically by a factor of 3. O Graph 3: The graph of f is shifted 3 units to the right. O Graph 4: The graph of f is compressed vertically by a factor of 3. O Graph 5: The graph of f is shifted 3 units to the left and reflected about the x-axis.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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