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5 December, 21:41

A parabola is given by the equation y = x2 + 4x + 4.

The vertex of the parabola is

. The focus of the parabola is

. The directrix of the parabola is given by the equation y =

.

Note: Separate coordinates inside parentheses with a comma.

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Answers (1)
  1. 5 December, 23:25
    0
    Convert the equation into a standard form

    y=x2+4x+4

    y = (x+2) ^2

    From the equation

    vertex is located at (-2,0)

    Solve for a to get the coordinates of the focus, from the equation

    4a=1

    a=1/4

    Focus is located at (-2, 1/4)

    The equation of the directrix

    y=-1/4
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