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Analytic Geometry

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What are the equations of the circles tangent to the x-axis, of radius 4 and whose center is at (-2,y)

Please help, how do I solve this problem?

  • Analytic Geometry -

    Since (-2,0) must be on the circle , (it is tangent to that point)
    y must be either 4 or -4

    first case: y = 4
    centre is (-2,4) radius is 4

    equation: (x+2)^2 + (y-4)^2 = 16

    you try the other circle with centre (-2,-4)

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