To find: Find the center and radius of each circle. Graph each circle by hand. Determine the intercepts of the graph of each circle.
Answer to Problem 31RE
Solution:
and the radius , intercepts are .
Explanation of Solution
Given:
Group the expression involving , group the expression involving and put the constant on the right side of the equation. The result is
Next, complete the square of each expression in parentheses. Remember that any number added on the left side of the equation must be added on the right.
This equation is the standard form of the equation of a circle with radius and center .
To graph the equation by hand, use the center and the radius .
To graph the equation using a graphing utility, solve for .
To find the , if any, let and solve for . Then
The are .
To find the , if any, let and solve for . Then
The are .
Chapter 1 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
University Calculus: Early Transcendentals (4th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Thomas' Calculus: Early Transcendentals (14th Edition)
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