Question

If you're good at parabolas please help meeeee

Find the equation of the following parabola

Answer 1

Explanation:

it is symmetric about y-axis and its axis is x=0

and vertex is (0,2)

so parabola is y=a(x-0)²+2

(2,4) lies on it.

4=a(2)²+2

4a=2

a=1/2

so y=1/2 x²+2