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 that is centered at (−3, 4) and has a radius of 6?

(x+3)^2 + (y-4)^2 = 36
(x-4)^2 + (y+3)^2 = 36
(x-3)^2 + (y-4)^2 = 36
(x-3)^2 + (y+4)^2 = 36

The correct answer is: (x-3)^2 + (y-4)^2 = 36

This is the equation of a circle in standard form, where (h,k) represents the center of the circle and r represents the radius. In this case, the equation represents a circle with a center at (-3,4) and a radius of 6. Option A is incorrect because the signs of the terms are incorrect. The x-term should have a negative sign, and the y-term should have a positive sign. Option B is incorrect because it has switched the values for the x and y terms. The x-term should be (x+3)^2 and the y-term should be (y-4)^2. Option D is incorrect because it incorrectly changes the sign of the y-term. The y-term should remain as (y-4)^2. Therefore, option C is the correct answer.