The equation of the parabola is x² = 12(y+3) if the focus of (0, 0) and a directrix of y=−6 option second is correct.
What is a parabola?
It is defined as the graph of a quadratic function that has something bowl-shaped.
Let's suppose the (x, y) lies on the parabola.
The distance between (0, 0) and (x, y)
= √(x²+y²)
The distance between (x,y) and the directrix, y=-6 is ly+6l
Equate and square to get the equation of the parabola:
√(x²+y²) = ly+6l
x²+y² = (y+6)²
x²+y² = y²+36 + 12y
x² = 12(y+3)
Thus, the equation of the parabola is x² = 12(y+3) if the focus of (0, 0) and a directrix of y=−6 option second is correct.
Know more about the parabola here:
brainly.com/question/8708520
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