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The vertex of the parabola is at (5,3) and its focal length is 8/4 = 2.
Since it opens to the right, the directrix will be a vertical line 2 units to the left of the vertex, so its equation will be x=(5-2), or x=3

The vertex of the parabola is at (5,3) and its focal length is

8/4 = 2.

Since it opens to the right, the directrix will be a vertical line 2 units to the left of the vertex,

so its equation will be x=(5-2),

or x=3

Find the directrix and an equation for this parabola?

distance by the vertex for the focus is 2 = d, the focal distance. so the directrix has located 2 units from the opposite direction to the vertex at y = -1.  Vertex to of the equation to a parabola is given by where (h, k) are the coordinates to the vertex.

How to write an equation for a parabola?

Writing the Equation to Parabolas

  • Determine which pattern of use (based on whether this is horizontal and vertical)
  • Substitute to h or k
  • Choose the coordinate to substitute in and solve for a.
  • Write your final equation with a, h, or k.

Learn more about equation of the directrix here https://brainly.com/question/17376399

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