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 simplest square root of 1345? no decimals please
How did the depression affect women and children?
What is a series of events that cells go through as they grow and divide
how is the expression of sex linked genes both  similar to and different from the expression of autosomal genes?
How do you work out the problem 84 divided by4
what is the simplest square root of 1345? no decimals please
Newtons third law of motion is also known as the law of ?
the area of a triangle is 41 yards to the second power with a base of 5 yard what is the height in yard
What is a communicable disease ?
There is an inverse relationship between x and y. If y is when x is 3, what is x when y is 9? 3 5