Question

Please determine the equation of the circle:Equation should look like the the example below!

Answer 1

Step-by-step explanation

The formula for the equation of a circle is

`\mleft(x-h\mright)^2+(y-k)^2=r^2`

where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

From our graph, we see that our center is

`\begin{gathered} (h,k)=(-7,-3) \\ \end{gathered}`

The radius which is the distance between the center and any point on the circumference can be measured as 3 units.

Therefore, by inserting the parameters into the formula, we will have;

`\begin{gathered} (x-(-_{}7))^2+(y-(-3))^2=3^2 \\ (x+7)^2^{}+(y+3)^2=9 \end{gathered}`

Answer:

`(x+7)^2+(y+3)^2=9`