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Sagot :
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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