Answer:
option A
Step-by-step explanation:
From the given graph we can see vertex is (0,0)
we pick a point from the graph, that is (2,2)
The parabola opens up so we use equation
[tex]y=a(x-h)^2+k[/tex]
(h,k) is the vertex (0,0)
So equation becomes
[tex]y=a(x-0)^2+0[/tex]
[tex]y=a(x)^2[/tex]
Now we use the point (2,2) and find out 'a', plug in 2 for x and 2 for y
[tex]2=a(2)^2[/tex]
[tex]2=4a[/tex]
divide both sides by 4
so a= 1/2
Plug in the value of 'a' in equation [tex]y=a(x)^2[/tex]
[tex]y=\frac{1}{2}x^2[/tex]
