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28 August, 03:19

Center and radius x2 + (y + 11) 2 = 25

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  1. 28 August, 03:46
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    x^2 + (y=11) 2 = 25

    Step-by-step explanation:

    Rewrite the equation in vertex form.

    y = - 1/2 (x+0) ^2+3/2

    Use the vertex form, y=a (x-h) ^2+k, to determine the values of a, h, and k

    a = - 1/2

    h = 0

    k = 3/2

    since the values of a is negative, the parabola opens down

    find the vertex (h, k)

    (0,3/2)

    find p, the distance from the vertex to the focus

    -1/2

    find the focus

    (0,1)

    find the axis of symmetry by finding the line that passes through the vertex and the focus

    x=0

    find the directrix

    y=2

    use the properties of the parabola to analyze and graph the parabola

    direction:opens down

    vertex: (0,3/2)

    focus: (0,1)

    directrix: y=2
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