To find: the center and radius of each circle and graph the circle.
Answer to Problem 25RE
The center of the circle
Explanation of Solution
Given:
Calculation:
Factor out the common factor 3.
By zero product property
Group the terms containing x and the terms containing y .
Express the terms within the parentheses as perfect squares. Any number added on the left-hand side must be added on the right-hand side also.
Factor the expression.
The standard equation of a circle with center
Express the equation in standard form
Compare the equation with the standard form.
Therefore, the center of the circle
The center of the circle is at the point
Use these points to graph the circle.
Substitute
Subtract 4 from both the sides.
Use the square root method.
Add 1 to both the sides,
The x -intercepts are 2 and 0.
Substitute
Subtract 1 from both the sides.
Use the square root method.
Subtract 2 from both sides,
The y - intercepts are 0 and-4.
Conclusion:
Therefore, the center of the circle
Chapter 1 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (3rd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Precalculus (10th Edition)
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