# How do you identify the conic section represented by #(y-4)^2= 8(x-1)# and what are the critical points?

##### 1 Answer

Apr 25, 2018

It is a horizontal parabola and does not have any critical point.

#### Explanation:

A conic section of the form

Hence for

Critical points are those points at which

As

As such,

For a vertical parabola, it is

graph{(y-4)^2=8(x-1) [-8.09, 11.91, -1.28, 8.72]}