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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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#20 Can you show me how to do this
O Graph 5: The graph of f 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.
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.
(c) y =x)
O Graph 1: The graph off 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.
Graph 4: The graph of f is compressed vertically by a factor of 4.
O Graph 5: The graph of f is shifted 4 units to the left and reflected about the x-axis.
(d)
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 of f is shifted 4 units to the left and reflected about the x-axis.
(e)
y = 2f(x + 9)
O Graph 1: The graph of f is shifted 9 units upward.
O Graph 2: The graph of f is shifted 9 units to the left and stretched vertically by a factor of 2.
O Graph 3: The graph of f is shifted 9 units to the right.
O Graph 4: The graph of f is compressed vertically by a factor of 9.
O Graph 5: The graph of f is shifted 9 units to the left and reflected about the x-axis.
Additional Materials
Transcribed Image Text:O Graph 5: The graph of f 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. 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. (c) y =x) O Graph 1: The graph off 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. Graph 4: The graph of f is compressed vertically by a factor of 4. O Graph 5: The graph of f is shifted 4 units to the left and reflected about the x-axis. (d) 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 of f is shifted 4 units to the left and reflected about the x-axis. (e) y = 2f(x + 9) O Graph 1: The graph of f is shifted 9 units upward. O Graph 2: The graph of f is shifted 9 units to the left and stretched vertically by a factor of 2. O Graph 3: The graph of f is shifted 9 units to the right. O Graph 4: The graph of f is compressed vertically by a factor of 9. O Graph 5: The graph of f is shifted 9 units to the left and reflected about the x-axis. Additional Materials
The graph of y = f(x) is given. Match each equation with its graph and give reasons for your choices.
y
10
1
-10
-5
10
-10f
y = f(x - 4)
O Graph 1: The graph of f is shifted 4 units upward.
(a)
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 of f 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.
(c)
y =
Transcribed Image Text:The graph of y = f(x) is given. Match each equation with its graph and give reasons for your choices. y 10 1 -10 -5 10 -10f y = f(x - 4) O Graph 1: The graph of f is shifted 4 units upward. (a) 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 of f 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. (c) y =
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