Ineed to find the equation for this.. i keep getting confused explain

The vertex form equation is y = a(x-h)^2+k
Lets substitute our given information.

y = a(x-1)^2+5

Now, lets put in the coordinate it needs to pass through.

8 = a(2-1)^2 + 5
8 = a + 5
a = 3

Now, lets make the equation now that we know a.

y = 3(x-1)^2+5

Hope this helps!