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

What were Elizabeth I most prominent traits as a ruler?
What is the simple subject of a tornado shape is like a funnel?
125/700 in simplest form
3 - 3 × 6 + 2 = what
What number is 31 less than fifty two million and four
Tomorrow, the mayor will announce her plans "for the new committee." what type of phrase is this?
Plants transform some of the electromagnetic energy from the sun into what?
Translate the phrase into a math expression. 30 added to a number that is decreased by 5 a. n – 5 + 30 b. 30 – n – 5 c. 30 + 5 – n d. 30 + (n ÷ 5)
What is mercantilism? A. an economic policy that relies on a ruling government to increase the wealth of a nation by controlling trade B. a political policy tha
Which of the following are effective ways of practicing your speech? presenting it in front of a mirror recording it with a video camera presenting it to fa