Question

Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola 3y 2 - x = 0

Answer 1

It's a parabola

Explanation:

If you write the equation as

x =3y2

, you can see that you are in the form

f (y)=3y2

. This is a quadratic polynomial in

y

, which means that it represents a parabola with axis parallel to the

x axis.