24BrandonHarbison 24BrandonHarbison
  • 14-04-2020
  • Mathematics
contestada

Write the equation of the parabola with a focus (-2,4) and directrix y = 0.

Respuesta :

DeanR
DeanR DeanR
  • 14-04-2020

y=0 means sideways from the usual orientation. The definition of a parabola is equal distances of (x,y) to the focus and the directrix.  We equate squared distance:

(x + 2)² + (y - 4)² = (y - 0)²

x² + 4x + 4 + y² - 8y + 16 = y²

x² + 4x + 20 = 8y

We could divide by 8 to get y= something but let's just skip the fractions and answer

Answer: 8y = x² + 4x + 20

Answer Link
jilliansgodfrey jilliansgodfrey
  • 14-01-2021

Answer:

asdga

Step-by-step explanation:

Answer Link

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