Question

Which graph represents the equation x^2 = 8y?

Answer 1

2 graph I think not certain

Answer 2

Graph which have Focus ( 0 , 2) and Vertex = ( 0 , 0 ).

Explanation:

Given : x² =8 y.

To find : Which graph represents the equation .

Solution : We have given that

x² =8 y.

On dividing both sides by 8

y =
`(x^(2))/(8)`.

Vertex form of parabola y = a (x-h)² + k

Where, ( h ,k ) is vertex

h = 0 and k = 0

Vertex = ( 0 , 0 ).

a =
`(1)/(8)`.

Focus ( h , k + p).

p =
`(1)/(4a)`.

p =
`(8)/(4)`.

p = 2

Then , Focus ( 0 , 2).

Therefore, Graph which have Focus ( 0 , 2) and Vertex = ( 0 , 0 ).