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 30RE
Solution:
and the radius 3, 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 3 and center .
To graph the equation by hand, use the center and the radius 3.
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
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