The ones that match are
1 and 5
2 and 6
7 and 3
8 and 4
Most textbooks interpret standard form of a quadratic function to be as follows:
f(x) =

In the function f(x) =

, notice we do not have a value for "c". Just place a "0" in for the c and you have standard form.
the criteria for standard form:
1. All like terms are combined
2. Degree must drop from left to right
3. The leading coefficient cannot be equal to zero.
Inscribed is a polygon inside a circle with all points on a given point in the circle. Circumscribed is a circle inside a polygon with any given point touching just one point on the polygon. Hope this helped.
Find the Vertex Form
y = -(x-3)^2-1