Question

Which of the following equations will produce the graph shown below?

Answer 1

The focus is at (0,2) and the vertex is at (0,0)

x^2 = 4ay

so 4a = 4 * 2 = 8

Its A

Answer 2

Option: A is the correct answer.

The equation of parabola is:

`x^2=8y`

Explanation:

Clearly we could observe that the parabola opens upward with vertex at (0,0) this means that the general equation of the parabola is:

`x^2=4ay`

The focus of parabola is: (0,a) and equation of directrix is: y= -a

From the image provided to us we get:

a=2

and directrix is: y= -2

Hence, the equation of a parabola is:

`x^2=8y`