The equation of the parabola is [tex]y=\frac{1}{24} x^2+3[/tex]
None of the given options is correct
Given:
Focus: (0, 3)
Directrix: y = -3
Note that:
f - k = k - (-3)
f - 3 = 3 + 3
f = 6 + 3
f = 9
The equation of the parabola is of the form:
[tex]y=\frac{1}{4(f-k)} (x-h)^2+k[/tex]
Substitute f = 9, k = 3, h = 0 into the equation
[tex]y=\frac{1}{24} (x-0)^2+3\\\\y=\frac{1}{24}x^2+3[/tex]
The equation of the parabola is [tex]y=\frac{1}{24} x^2+3[/tex]
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