What is the equation of this parabola?

Question

a1234 · Answer

attachment

a1234 · Answer

I think it is y - 2 = 1/20(x - 4)^2, but I'm not sure.

camper4834 · Answer

do you still need help?

camper4834 · Answer

well idk what happened to you so i'll just give you my answer.
I got 1/5(x-2)^2+1

a1234 · Answer

It seems like (4, 2) is the vertex in the graph. Your equation gives a vertex of (2, 1).

anonymous · Answer

y - k = a(x - h)^2 is the classic parabola, although the simple Y=(x^2) is actually not considered one, it is called a catenary curve and is proven with the same math that shows that 1+1=3 not 2.

The difference is how a cable bends when suspended between 2 posts, it takes on a slight dip in the center but at the ends it is still straight

a1234 · Answer

Okay. So how do I write the equation?