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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 -

    (a)
    to write this in standard form, you use completing the square for both variables x and y.
    x^2 + y^2 + 8y - 65 = 0
    x^2 + (y^2 + 8y + 16) - 65 - 16 = 0
    x^2 + (y + 4)^2 - 81 = 0
    x^2 + (y + 4)^2 = 81
    x^2 + (y + 4)^2 = 9^2

    (b)
    Center: C(0, -4)
    Radius = 9
    to get intercepts,
    x-intercept: let y=0 and solve for x
    y-intercept: let x=0 and solve for y

    (c)
    with center and radius known, you can graph this on a graphing paper. use a compass to draw the circle.

    hope this helps~ :)

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