Concept explainers
a.
To graph a function using plotting points or translating parent function.
a.
Explanation of Solution
Given:
Function:
Formula used:
Quadratic equation:
Calculation:
Substituting the values of given equation in the above formula,
Substitute the value of
When
The point is
When
The other point is (1,0.0067)
Graph:
Plot the points in the graph as shown below:
Interpretation:
Looking at the function given, the structure of the function is similar to that of the general formula for finding quadratic equations. So, in such cases plotting the points is better to use.
b.
To graph a function using plotting points or translating parent function.
b.
Explanation of Solution
Given:
Function:
Calculation:
Using translating parent function method,
The general equation for horizontal stretch is
Here, the given function is similar to the above equation.
So, the new vertex of the function is
Therefore, the horizontal stretch is
So the vertex of the function is
Graph:
Interpretation:
Looking at the function given, the structure of the function is similar to that of the horizontal stretch. So, in such cases translating parent function is better to use.
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS:GRAPH.APPROACH
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning