The vertex form of a quadratic equation is
... y = a(x -h)² + k . . . . . . where the vertex is (h, k) and "a" is some multiplier
Then using the given information, we can find "a".
... -7 = a(0 -1)² +1 = a+1
... -8 = a
The quadratic equation is
... y = -8(x -1)² +1 . . . . vertex form
or
... y = -8x² +16x -7 . . . . standard form
