Concept explainers
To graph: The
Explanation of Solution
Given information:
The quadratic equation
Graph:
The graph of the quadratic equation
Consider the quadratic equation,
Now put the values of
Rewrite the equation take common:
Now substitute the value of
Eliminate the quadratic term by substituting:
Now put the value of
The value of
Substitute the value
Substitute the value
Substitute the value
Substitute the value
Substitute the value
Observed that when the value of
When the value of
Steps to plot the graph of the equation
Step 1: Press
Step 2: Use the down arrow key to reach
Step 3: Press
Step 4: Press
Step 5: Enter the function
Step 6: Press
For better view of graph.
Step 8: Press
The result obtained on the screen is provided below,
Interpretation:
The equation of the function
The parabola opens downwards.
The
At
Recall that the graphical approach to solve the equation simultaneously.
Therefore, in the equation,
Therefore, the equation
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- 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