Answer:
y = (1/16)(x-1)² + 2
Step-by-step explanation:
There is exactly one squared variable, so the conic is a parabola.
The squared variable is x, not y, so the parabola is vertical.
Vertex-form equation for a vertical parabola:
y = a(x-h)²+k,
where (h,k) is the vertex, and a≠0.
Put x²-2x-16y+33=0 into vertex form:
y = (1/16)(x-1)² + 2
