Austin wants to sketch the graph of a circle represented by the given equation.

(x - 2)2 + (y + 5)2 = 36

Using complete sentences, describe the steps used to sketch the circle on a coordinate grid.

Question

Austin wants to sketch the graph of a circle represented by the given equation. 

(x - 2)2 + (y + 5)2 = 36 

Using complete sentences, describe the steps used to sketch the circle on a coordinate grid.

mathstudent55 · Answer

The equation of a circle is

$ (x - h)^2 + (y - k)^2 = r^2 $

where the center of the circle is (h, k) and the radius is r.

anonymous · Answer

Yeah but this question is confusing.

mathstudent55 · Answer

I don't think it's that confusing. 
All you need to do is comare the given equation with the standard equation I wrote above and compare the numbers.

anonymous · Answer

I'm doing that, I just don't know how to write it in the box.

anonymous · Answer

...

mathstudent55 · Answer

$ \large{  (x - 2)^2 + (y + 5)^2 = 36   }$

$ \large{  (x - \color{blue}2^2 + (y - (\color{red}{- 5}))^2 = \color{green}6^2   }$


$ \large{(x - \color{blue}h)^2 + (y - \color{red}k)^2 = \color{green}r^2   }$

anonymous · Answer

Thank you.(:

mathstudent55 · Answer

That means for your problem, the center is at (2, -5) and the radius is 6.

anonymous · Answer

I figured that one out, thank you for your help.(:

mathstudent55 · Answer

You're welcome.