Question

How do you classify `y = x^2 + 1`?

Answer 1

Parabola

Explanation:

The given equation

`y=x^2+1`

`x^2=y-1`

The above equation is in form of upward parabola: `x^2=4ay` which has

Vertex `(x=0, y-1=0)\equiv(0, 1)`

Axis of symmetry: `y-1=0`

Directrix: `y-1=-1/4`

`y=3/4`