191k views
1 vote
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​

1 Answer

4 votes

Answer: B) y = (1/28)x^2

Step-by-step 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

User Nof
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories