The line x = 2 is the axis of symmetry for a parabola. the focus of the parabola is located 3 units from the vertex.
which could be the equation for the parabola?
(x – 2)2 = 12(y – k)
(x – h)2 = 12(y – 2)
(x – 2)2 = 3(y – k)
(x – h)2 = 3(y – 2)

- The first option can be the equation for the parabola.

Explanation:-

Given:- The line x = 2 is the axis of symmetry for a parabola.

⇒ vertex of parabola=(2,0)

⇒The equation of the parabola can be  

The focus of the parabola is located a=3 units from the vertex.

⇒ The equation of the parabola can be

The equation of the parabola can be

Thus the first option can be the equation for the parabola.

Option a is right

Step-by-step explanation:

Since it is given that x=2 is axis of symmetry we have the vertex and focus both will have x coordinate as 2.

Vertex can be of the form (2,k) for some suitable k.

Always axis of symmetry will have either side similar

Hence equation would be of the form

To find a:

Since focus of the parabola is located 3 units from the vertex we get

a = 3

Hence the parabola would have equation as

Hence option a is right