4. The reflection of the graph of y = x+ x- 3 in the y-axis is the graph of: A. y = x+ x - 4 B. y = x² - x- 3 C. y = x² – x – 3 D. y = 3 -x-x2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
icon
Related questions
Topic Video
Question
100%

Answer Q4, 5 & 6 showing clearly all steps

1. A translation of y=f(x) through 2 units parallel to the x-axis is represented by
A. y=f(x) + 2
B. y=f(x) – 2 C. y = f(x + 2) D. y = f(x - 2)
%3D
2. A translation of the graph of y = f(x) 2units parallel to the y-axis is the graph of:
A. y= f(x) + 2 B. y = f(x) - 2
C. y = f(x+2) D. y = f(x-2)
3. A reflection of the graph of y = x2 – x – 1 in the x-axis is the graph of
2
|
A. y = x- x - 2 B. y = x² - x – 3 C. y = x- x - 3 D. y = 3 – x – x
|
4. The reflection of the graph of y = x² + x - 3 in the y-axis is the graph of:
2
A. y =x+x - 4
B. y = x² – x- 3 C. y = x-x- 3 D. y = 3 – x –x²
5. y= 2 - x is a
A. translation of y = x – 2 through – 1 unit parallel to the x-axis
B. reflection of y=x - 2 in the y-axis
C. stretch with scale factor -1 parallel to y-axis
D. stretch with scale factor -1 parallel to x-axis
6. The graph of y = x-x + 5 is first reflected in the y-axis and then translated 3 units
parallel to the x-axis. The equation of the curve obtained is:
A. y = x + x + 8 B. y= -x+ 7x - 17 C. y = x+ 7x + 17
D. y= x- 5x + 11
%3D
%3D
2
7. If the graph of y = x is stretched parallel to the y-axis by scale factor 3 to obtain the
%3D
graph of y= g(x) the g(x) =
X2
A. 9x B. 3x C. x² + 3 D
8. Given that f(x) = f(x-1)2 and that the point (2, 1) on the curve y f(x) corresponds to the
point (a, b) on the graph of y D(2x) ihe values of a and b are:
A. a = 1, b = 2 B. a = 1, b=0 C. a 4, b = 9 D. a = 4, b 3
%3D
2
9. The transformation given to y = x2 to obtain
is a stretch with scale factor:
y :
A. ½ parallel to x-axis B. ½ parallel to y-axis
C. 2 parallel to x-axis D. 2 parallel to y-axis
Transcribed Image Text:1. A translation of y=f(x) through 2 units parallel to the x-axis is represented by A. y=f(x) + 2 B. y=f(x) – 2 C. y = f(x + 2) D. y = f(x - 2) %3D 2. A translation of the graph of y = f(x) 2units parallel to the y-axis is the graph of: A. y= f(x) + 2 B. y = f(x) - 2 C. y = f(x+2) D. y = f(x-2) 3. A reflection of the graph of y = x2 – x – 1 in the x-axis is the graph of 2 | A. y = x- x - 2 B. y = x² - x – 3 C. y = x- x - 3 D. y = 3 – x – x | 4. The reflection of the graph of y = x² + x - 3 in the y-axis is the graph of: 2 A. y =x+x - 4 B. y = x² – x- 3 C. y = x-x- 3 D. y = 3 – x –x² 5. y= 2 - x is a A. translation of y = x – 2 through – 1 unit parallel to the x-axis B. reflection of y=x - 2 in the y-axis C. stretch with scale factor -1 parallel to y-axis D. stretch with scale factor -1 parallel to x-axis 6. The graph of y = x-x + 5 is first reflected in the y-axis and then translated 3 units parallel to the x-axis. The equation of the curve obtained is: A. y = x + x + 8 B. y= -x+ 7x - 17 C. y = x+ 7x + 17 D. y= x- 5x + 11 %3D %3D 2 7. If the graph of y = x is stretched parallel to the y-axis by scale factor 3 to obtain the %3D graph of y= g(x) the g(x) = X2 A. 9x B. 3x C. x² + 3 D 8. Given that f(x) = f(x-1)2 and that the point (2, 1) on the curve y f(x) corresponds to the point (a, b) on the graph of y D(2x) ihe values of a and b are: A. a = 1, b = 2 B. a = 1, b=0 C. a 4, b = 9 D. a = 4, b 3 %3D 2 9. The transformation given to y = x2 to obtain is a stretch with scale factor: y : A. ½ parallel to x-axis B. ½ parallel to y-axis C. 2 parallel to x-axis D. 2 parallel to y-axis
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Quadrilaterals
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,