Answer: [tex](x +7)^2 + y^2 = 27[/tex]
Step-by-step explanation:
The standard form of a circle is written as such:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where (h, k) is the center of the circle, and r is the radius.
We know that the center is (-7, 0), so we can plug that into the equation like this: [tex](x +7)^2 + y^2 = r^2[/tex]
The radius is 3 * the square root of 3. To square this, we can multiply 3 squared and the square root of 3 squared:
[tex]3^2 * \sqrt{3} ^2 = 9 * 3[/tex]
So, your standard form equation is the following:
[tex](x +7)^2 + y^2 = 27[/tex]
