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vrw28
24.07.2020 •
Mathematics
Which is the equation of a parabola with a directrix at y = −3 and a focus at (−2, 3).
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Ответ:
y =
(x + 2)²
Step-by-step explanation:
Any point on the parabola (x, y) is equidistant from the focus and directrix.
Using the distance formula
Square both sides
(x + 2)² + (y - 3)² = (y + 3)² ← expand the factors in y
(x + 2)² + y² - 6y + 9 = y² + 6y + 9 ← subtract y² + 6y + 9 from both sides
(x + 2)² - 12y = 0 ← subtract (x + 2)² from both sides
- 12y = - (x + 2)² ( divide both sides by - 12 )
y =
(x + 2)²
Ответ:
in a sec i have to finish my work
Step-by-step explanation: