# How do you graph (x – 3)^2 + (y + 4)^2 = 25?

Apr 15, 2016

circle : centre(3,-4), r = 5

#### Explanation:

The standard form of the equation of a circle is

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

where (a , b) are the coordinates of centre and r , the radius.

the equation : ${\left(x - 3\right)}^{2} + {\left(y + 4\right)}^{2} = 25 \text{ is in this form }$

By comparison with the standard : a = 3 , b = -4 and r = 5

thus : circle , centre (3 , -4) and radius of 5.