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

Select the correct answer. In a given chemical reaction, the energy of the products is greater than the energy of the reactants. Which statement is true for th
ASAP!! What language techniques does writer Mary Shelley use to develop the character of Frankenstein?​ specifically this extract.
Fraction: 23 100 Decimal: 0.23 Percent: 30 %
6x+2y=20 2x-3y=3 solve by substitution
As the allies close in on the germans, concentration camps are evacuated and prisoners are forced to go on death marches by ss officers. "faster, you filthy dog
Why did former soldiers gather in Philadelphia in 1783?
Please help!!!!!!!! Asap, i need to finish
(b) Find the area of triangle BCD. ​
This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!
little melinda has nickels and quarters in her bank she has 8 fewer than nickels she has 5.60 in the bank how many coins of each type does she have