What is the equation of the parabola?
y = −one twelfthx2 − 2
y = one twelfthx2 − 2
y = −one twelfthx2 + 2
y = one twelfthx2 + 2

d

step-by-step explanation:

any point (x, y) on the parabola is equidistant from the focus and the directrix

here focus = (0, 5) and directrix is y = - 1

using the distance formula

= | y + 1 |

squaring both sides

x² + (y - 5)² = (y + 1)² ← expand parenthesis on both sides

x² + y² - 10y + 25 = y² + 2y + 1

subtract y² + 2y + 1 from both sides

x² - 12y + 24 = 0 ← subtract x² from both sides

- 12y + 24 = - x² ← subtract 24 from both sides

- 12y = - x² - 24 ( divide all terms by - 12 )

y = x² + 2 → d

i dont know it

step-by-step explanation:

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