Explanation:


Standard Form of Conic is

In this scenario, a is 1. c is 1 d is 4 and f is -6
Since a=c, we will get a circle.
Standard form of a circle is

where (h,k) is the center and r is the radius.
Step 1: Convert x^2+4x+y^2-6 into circle.

Add 6 to both sides

Complete the square with respect to x variable
Divide 4 by 2 and square it, then add that to both sides

So add four to both sides

Remebrr that a perfect square is

So we get

That is our standard equation.
Look at the graph above.