# How do you identity if the equation #x^2=8y# is a parabola, circle, ellipse, or hyperbola and how do you graph it?

##### 1 Answer

Jan 27, 2018

#### Answer:

It is a parabola opening up with vertex at

#### Explanation:

Given -

#x^2=8y#

It is a parabola opening up.

The general form of the equation of a parabola opening up is -

#x^2=4ay#

Where -

#4# is a constant

#a# is the distance from the vertex to focus.

Its vertex is#(0,0)#

The given equation

#x^2=4xx2xxy#