Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.2: Power Functions
Problem 17E: Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height...
Related questions
Topic Video
Question
100%
Answer Q4, 5 & 6 showing clearly all steps
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
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
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
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning