elizahalabaku elizahalabaku
  • 01-03-2022
  • Mathematics
contestada

A parabola can be drawn given a focus of (4, -7) and a directrix of y = -5. Write the equation of the parabola in any form.

Respuesta :

Nepalieducation
Nepalieducation Nepalieducation
  • 01-03-2022

Answer:

-1/4(x-4)²-b

Step-by-step explanation:

Here,

The vertex of parabola is (4,-7)

Suppose that the equation of parabola is a(x-4)²-b

Now,

[tex]y=a(x-4)^{2} -b\\\\a=\frac{1}{-7-(-5)*2}\\\\a=\frac{1}{-7+5*2} \\\\a=-\frac{1}{4} \\[/tex]

Replacing value of a.

Hence,y=-1/4(x-4)²-b

Answer Link

Otras preguntas

What is 247,009 rounded to the nearest thousand place
Which is the best way to rewrite this sentence in active voice? A good investment plan can now be gotten by all laborers. a. All laborers could now get a good
What's the anewer to this problem..? 21×__=9×21 tell which property you used 21×=9×21 Property of multiplication..
How did social and economic life change for freed people
what is 5/20 as in a percent
express 87 24/25 as a decimal
Who led most of the Italian Renaissance city-states? a. doges b. artists and architects c. monarchs d. powerful merchant families
true or false? If you divide the mass of a substance by its volume, you can find its density.
what is the value of the digit 1 in the number 0.413
Driving while wearing headphones or headsets a. is not dangerous, because you can still see everything around you b. is more entertaining than listening to th