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Given the equation x^2 +y^2+8y-65=0
(a) Write the equation in standard form.
(b) State the center, radius, and intercepts.
(c) Submit the graph

  • math -

    rearrange terms to complete the squares:

    x^2 + (y^2 + 8y + 16) = 65 + 16
    x^2 + (y+4)^2 = 9^2

    center: (0,-4)
    radius: 9
    y-intercepts: (0,-13) and (0,5)
    x-intercepts: (-√65,0) and (√65,0)

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