Concept explainers
(a)
the value of g(x) that is obtained from the graph of f(x) = x2
(a)
Answer to Problem 27PPS
The graph of g(x) is the graph of f (x) translated 200 yards right, compressed vertically, reflected in the x-axis, and translated up 20 yards.
Explanation of Solution
Given information:
The path of a drive can be modeled by a quadratic function where g(x) is the vertical distance in yards of the ball from the ground and x is the horizontal distance in yards.
Formula used:
Substitution method is used.
Calculation:
For
There is a reflection across the x-axis and the graph will be compressed vertically (or be wider).
Since
There is a translation 200 yards to the right.
Since
k = 20 and 20 > 0, there is a translation up 20 yards.
Thus, the graph of g(x) is the graph of f (x) translated 200 yards right, compressed vertically, reflected in the x-axis, and translated up 20 yards.
Conclusion:
The graph of g(x) is the graph of f (x) translated 200 yards right, compressed vertically, reflected in the x-axis, and translated up 20 yards.
(b)
the function h(x) to determine the second golfer shot.
(b)
Answer to Problem 27PPS
The function is
Explanation of Solution
Given information:
GOLF The path of a drive can be modeled by a quadratic function where g(x) is the vertical distance in yards of the ball from the ground and x is the horizontal distance in yards.
Formula used:
Substitution method is used.
Calculation:
If the red tee is 30 yards closer to the hole, then g (x) will be translated 30 yards to the right to obtain h (x).
So, for h(x) h = 200 + 30 or 230. Therefore, the function is
Conclusion:
The function is
Chapter 9 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
Linear Algebra and Its Applications (5th Edition)
College Algebra (7th Edition)
College Algebra
College Algebra
Elementary Statistics (13th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education