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

Enumerate at least (8) contribution that you can give in promoting the different art movement
What's the slope of the line that passes through (2,14) and (-1,-1)?
list the important elements of civil society and their roles and importance in society.
Manuel is choosing a 3 -letter password from the letters A, B, C, D, and E. The password cannot have the same letter repeated in it. How many such passwords a
8 = x divided by 12.8
"Delian healer" is an epithet for _____. a) zeus b) athena c) apollo d) oedipus
An amount of $19,000 is borrowed for 6 years at 4.5% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid
Solve: 25x^5 + 10x^2 / 5x PLZ HELPPP LAST Questionnn SORRY I HAD to edit question ...It is A plus sign
The idea that government and its officers are always subject to never above the law is described as
How does T.S.Eliot in "The Waste Land" differ in his interpretation of subject matter from Geoffrey Chauncer in The Canterbury Tales?