College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP exam with our comprehensive quiz. Our engaging questions, hints, and detailed explanations will help ensure you're ready to ace your test and earn college credit faster!

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What is the equation of a circle if the center is (4,2) and the radius is 3?

(x - 4)2 + (y-2)2 = 9
(x - 4)2 + (y+2)2 = 9
(x + 4)2 + (y-2)2 = 9
(x + 4)2 + (y+2)2 = 9

The correct answer is: (x - 4)2 + (y-2)2 = 9

For a circle with center (h,k) and radius r, the equation is (x-h)^2 + (y-k)^2 = r^2. Since the center of this circle is (4,2) and the radius is 3, the equation becomes (x-4)^2 + (y-2)^2 = 9. Option A is the only one that follows this equation, making it the correct answer. Options B, C, and D all have incorrect signs in front of the y term, which would result in a different circle with a different center point.