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

the length of a rectangle is 3 feet less than twice the width of the rectangle. if the perimeter of the rectangle is 324 feet, find the width and the length?
the perimeter of a square is 4 times as great as the length of any of its sides. Determine whether the perimeter of the square is proportional to the side lengt
HOW TO FIND THE MISSING NUMERATOR IN ANY FRACTIONS LIKE 4/8=  ?/4
how do you now 11/33 is a simplest form
Evolution is: A) A change in the composition of a population from one generation to the next.B) A phenomenon that must be inferred from evidence, because it can
The discovery of gold in Transvaal contributed to the start of _____?the Anglo-Boer WarWorld War IIWorld War Ithe Peloponnesian War
What is the slope of (2,3) , (6,7)
sophia has 3 pink tulips and 3 white tulips. what fraction of sophias tulips are pink
Use the order of operations and the digits 2,4,6 and 8 to create an expression with a value of 2
which is more acidic pH2, pH4 or pH6?