Question

Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola.

y = x 2 + 1​

Answer 1

The equation
`y=x^2+1` will be a parabola when it is graphed

Answer 2

It's a parabola

Explanation:

The equation seems to a parabolic function. The parabola is defined as:

`y=Ax^2+b`

where b is a displacement, we can notice that in our case A=1 and b=1

so it is a parabola with a vertical displacement of one unit.