Select the appropriate description of how the graph of each function is derived from the graph of y = x². Place the number next to the correct answer. a) y= x)]² vertical compression by a factor of - 3 (1) (2) vertical expansion by a factor of 3 b) y = (3x)² (3) horizontal translation 3 units right| (4) horizontal translation 3 units left y = x? – 3 6. (5) vertical translation 3 units up c) (6) vertical translation 3 units down (7) reflection in x-axis and horizontal translation 3 units left d) y = (x – 3)2 (8) horizontal expansion by a factor of 3 (9) horizontal compression by a factor of - e) y = -(x+ 3)² 7 (10) horizontal translation 3 units right and vertical translation 3 units up (11) reflection in x-axis and vertical translation 3 units up y = -x? + 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 56E
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Select the appropriate description of how the graph of each function is derived from the graph of y = x². Place the
number next to the correct answer.
a) y= x)]²
vertical compression by a factor of -
3
(1)
(2)
vertical expansion by a factor of 3
b)
y = (3x)²
(3)
horizontal translation 3 units right|
(4)
horizontal translation 3 units left
y = x? – 3
6.
(5)
vertical translation 3 units up
c)
(6)
vertical translation 3 units down
(7)
reflection in x-axis and horizontal translation 3 units left
d)
y = (x – 3)2
(8)
horizontal expansion by a factor of 3
(9)
horizontal compression by a factor of -
e)
y = -(x+ 3)² 7
(10) horizontal translation 3 units right and vertical translation 3 units up
(11) reflection in x-axis and vertical translation 3 units up
y = -x? + 3
Transcribed Image Text:Select the appropriate description of how the graph of each function is derived from the graph of y = x². Place the number next to the correct answer. a) y= x)]² vertical compression by a factor of - 3 (1) (2) vertical expansion by a factor of 3 b) y = (3x)² (3) horizontal translation 3 units right| (4) horizontal translation 3 units left y = x? – 3 6. (5) vertical translation 3 units up c) (6) vertical translation 3 units down (7) reflection in x-axis and horizontal translation 3 units left d) y = (x – 3)2 (8) horizontal expansion by a factor of 3 (9) horizontal compression by a factor of - e) y = -(x+ 3)² 7 (10) horizontal translation 3 units right and vertical translation 3 units up (11) reflection in x-axis and vertical translation 3 units up y = -x? + 3
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