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melisa1 [442]
3 years ago
13

Can someone help me plz with this question

Mathematics
1 answer:
klemol [59]3 years ago
3 0

Answer:

i think maybe a and b

Step-by-step explanation:

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Step-by-step explanation:

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Derive the equation of the parabola with a focus at (−2, 4) and a directrix of y = 6. Put the equation in standard form.
erastovalidia [21]

Answer:

B

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant.

Using the distance formula

\sqrt{(x+2)^2+(y-4)^2} = | y - 6 |

Squaring both sides

(x + 2)² + (y - 4)² = (y - 6)² ←  distributing

x² + 4x + 4 + y² - 8y + 16 = y² - 12y + 36 ( subtract y² - 12y + 36 from both sides )

x² + 4x + 4 + 4y - 20 = 0 ( subtract x² + 4x + 4 from both sides )

4y - 20 = - x² - 4x - 4 ( add 20 to both sides )

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f(x) = - \frac{1}{4} x² - x + 4 → B

3 0
3 years ago
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