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

given: quadrilateral ABCD with ∠A= ∠C and BD the bisector ∠ABC prove: DB bisects ∠ADC
What caused the rise of military government in Japan?
given: quadrilateral ABCD with ∠A= ∠C and BD the bisector ∠ABC prove: DB bisects ∠ADC
In the formula e = hf, if e is doubled and f is halved, what happens to the value of h?
An object of mass 2 kg has a linear momentum of magnitude 6 kg • m/s. What is this object’s kinetic energy?
The sales tax rate is 8%. Estimate the tax on a jacket that costs $69.95.
How many prime numbers are there between 56 and 100?
Most autotrophs make “food” through the process of a. photosynthesis. b. homeostasis c. chemosynthesis d. cellular respiration
Place the mouse, fruit fly, duck, and gorilla in order of their relatedness to humans, from least related to most related. a. mouse - fruit fly - duck - gorilla b
A pizza with 2 toppings from Maria's Pizza Place costs $11.00.A pizza with 5 toppings from Maria's Pizza Place costs $14.75.Each topping at Maria's Pizza Place