Question

Which of the following circles have their centers on the x-axis? Check all that apply. A.(x - 0)2 + (y - 5)2 = 49 B.(x - 0)2 + (y - 0)2 = 25 C.(x - 4)2 + (y - 0)2 = 22 D.(x + 1)2 + (y - 7)2 = 16

Answer 1

Answer: The answers are B and C

Answer 2

Circles having their centers on the x-axis has a y-component or coordinate equal to zero. In this case, with the standard equation of the circle equal to (x-h)^2 + (y-k)^2 = r^2, the one that fits the description of the problem is B.(x - 0)2 + (y - 0)2 = 25 and C.(x - 4)2 + (y - 0)2 = 22