College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

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What is the equation of the circle with center (2, -1) and radius 3?

(x + 2)^2 + (y + 1)^2 = 9
(x - 2)^2 + (y - 1)^2 = 7
(x + 2)^2 + (y + 1)^2 = 6
(x - 2)^2 + (y - 1)^2 = 9

The correct answer is: (x - 2)^2 + (y - 1)^2 = 9

The equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center and r represents the radius. In this question, the center is given as (2, -1) and the radius is given as 3. In option A, the center is represented as (2,1) and in option C, the radius is stated as 6 instead of 3. In both options B and D, the center and radius are correctly represented, but since the center is given as (2,-1), option D is the correct choice as it satisfies both the center and radius requirements for the equation of a circle.