Question

Determine the equation of the graphed circle below!Equation should look like the example below!

Answer 1

Step 1:

Write the formula for the equation of a circle.

`\begin{gathered} (x-a)^2+(y-b)^2=r^2 \\ \text{Center = ( a , b )} \\ \text{Radius = r} \end{gathered}`

Step 2:

Locate and write the center and radius of the circle.

Step 3:

Write the equation of the circle with center (-7, -2) and radius r = 2

`\begin{gathered} (x-a)^2+(y-b)^2=r^2 \\ (x-(-7))^2+(y-(-2))^2=2^2 \\ (x+7)^2+(y+2)^2=\text{ 4} \end{gathered}`

Final answer

`(x+7)^2+(y+2)^2=\text{ 4}`