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

-4 = p + 7 using sum in verbal expression form
Which of the following is the most important factor in the organization of the work of Congress? apportionment gerrymandering pork parties
What does a router do with a packet that it does not have a destination network for?
one end of a tent is a triangle. the height of the triangle is 1.5 m and the base is 2.5 m. what is the area of the triangle?​
What is the divine strength of jesus christ referred to in the scriptures that makes it possible for a person to be made perfect?
help please!! show work if possible thank you!!
What is the least common multiple of 6x^2+39x-21 and 6x^2+54x+84?
In which two ways can a scrum master exemplify characteristics of a servant leader?
Answers are needed urgently..ty​
A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in. a regular octagon has an apothem with length 10 centimeters and a perimeter of 66.