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

Find the distance, to the nearest tenth, from T(4-2) to U(-2,3)
How did the government of Rome develop into an empire
A ____ error occurs when an instruction does not follow the grammar of the programming language
Which of the following is found in an animal cell, but not in a plant cell? a. nuclei b. centrioles c. mitochondria d. central vacuole
The force of gravity on you is greatest when you are standing _____. a. far above Earth's surface b. just above Earth's surface c. on Earth's surface
Gandhi fought the British by attacking them in all of the following ways, except a. economically. c. passively. b. verbally. d. violently.
Write the fraction as a multiple of a unit fraction 7/8
What is the product of 7x-4 and 8x+5
What are the current policies around guns in America at the moment?
what is the percent change of 92 to 69 first value to the second