Respuesta :

The equation of the parabola is:

[tex]y = 24x^2[/tex]

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The equation of a parabola of vertex (h,k) and focus (0,f) is given by:

[tex]y = 4p(x - h)^2 + k^2[/tex]

  • Vertex at the origin means that [tex]h = 0, k = 0[/tex].
  • Focus (0,6) means that [tex]p = 6[/tex]

Thus, the equation of the parabola is:

[tex]y = 4p(x - h)^2 + k^2[/tex]

[tex]y = 4(6)(x - 0)^2 + 0^2[/tex]

[tex]y = 24x^2[/tex]

A similar problem is given at https://brainly.com/question/15165354

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