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 the midpoint of the line segment whose endpoints are (-8, 12) and (-13, -2)?
In japan, the emperor had more power than a shogun. a. true b. false
Which graph correctly solves the system of equations below? x2 + y2 = 9 y = x + 3 Linear graph and circle. They intersect at negative 3, 0 and 0, 3 Linear and
to determine whether gene transfer has been successful, one might add?
may someone help me out with this
whats is pathos of racism
what is the mass of 2.5 mol of ca, which has a molar mass of g/mol
A state has passed a law making it illegal for people to protest at the state capitol building. You think this law is unconstitutional, but your state court sys
Which is an example of a commodity? a. milk b. sweater c. house d. automobile
The nutrition facts panel on a box of crackers indicates that one serving provides 140 calories, with 55 calories coming from fat. calculate the percentage of c