Given:
Equation of a circle
![(x+4)^2+y^2=7](https://img.qammunity.org/2023/formulas/mathematics/high-school/rccb5vx039c74pnbn7qdie6gqn9607oqyk.png)
Required:
Find the center and radius of the circle. Then graph of circle.
Step-by-step explanation:
We have a standard equation of circle
![(x-h)^2+(y-k)^2=r^2](https://img.qammunity.org/2023/formulas/mathematics/college/5s77z5lwu6jnvb5vkwanu2jvhq5sh1qkc3.png)
Whose radius is (h, k) and radius r.
We have equation of a circle
![(x+4)^2+y^2=7](https://img.qammunity.org/2023/formulas/mathematics/high-school/rccb5vx039c74pnbn7qdie6gqn9607oqyk.png)
Now, we will compare with standard equation of a circle
![We\text{ will get center\lparen-4, 0\rparen and radius }√(7).](https://img.qammunity.org/2023/formulas/mathematics/high-school/p59gs811yy07o275j2p0d85j9yyvwkkwjz.png)
Graph of circle is
Answer:
Hence, this is the answer.