meredith48034
meredith48034 meredith48034
  • 01-04-2020
  • Mathematics
contestada

what is an equation of a parabola with vertex at the origin and focus (0, 7)

a. y = -1/28 x^2

b. y = 1/28 x^2

c. x = -1/28 y^2

d. x = 1/28 y^2​

Respuesta :

jimthompson5910 jimthompson5910
  • 01-04-2020

Answer: B)  y = (1/28)x^2

Explanation:

p = focal distance = 7

the focal distance is from the vertex to the focus

The parabola opens upward (since the vertex is below the focus) so 'a' is positive and a = 1/(4p) = 1/(4*7) = 1/28

The vertex is (h,k) = (0,0)

Put this all together into the formula below and simplify

y = a(x-h)^2 + k

y = (1/28)(x - 0)^2 + 0

y = (1/28)x^2

Answer Link

Otras preguntas

Last year Rachel contributed $105 each month toward her 401k her employer matched 17% of her contributions what was the total amount contributed
How many moles of glucose are present in 1.0 liters of a 2.5 M solution of glucose water
Looking for various opinions on organ donation for a project.
find the volume of a sphere with a radius of a 5 m. remember that the volume of a sphere is 4/3πr3
What leads to the formation of an ionic bond with Hg22+?
Select the true statements about Prince Henry's school of navigation: It was located in a small town in North Africa. It employed the best map makers available
The chromosomes shown in Figure 9-1 are in which state of mitosis? mc010-1.jpg Figure 9-1 a. prophase c. anaphase b. metaphase d. telophase
what are the benefits of wax?
find the volume of a sphere with a radius of a 5 m. remember that the volume of a sphere is 4/3πr3
The qing hairstyle dictated for men....