Answer:
y = -2x² + 8x + 10
Explanation:
let's adjust the coordinates of vertex to a whole number: (2 , 17.75) to (2 , 18)
Quadratic equation: y = ax² + bx c or y = a(x-h)² + K (h,k) is the vertex
y = a (x-2)² + 18
a = (y-18) / (x-2)² = (16-18) / (1-2)² = -2 : calculate use point (1 , 16)
y = -2 (x-2)² + 18
y = -2x² +8x + 10