# How do you graph (x-5/2)^2 + (y+4)^2 = 101/4?

Oct 27, 2016

The equation represents a circle, center $\left(\frac{5}{2} , - 4\right)$ and radius $\left(\frac{\sqrt{101}}{2}\right)$

#### Explanation:

The equation is
${\left(x - \frac{5}{2}\right)}^{2} + {\left(y + 4\right)}^{2} = \frac{101}{4}$

This equation looks like

${\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}$

Which is the equation of a circle, center (a,b) and radius r.

so we have a circle of center $\left(\frac{5}{2} , - 4\right)$and radius $\frac{\sqrt{101}}{2}$