# How do you write an equation for a circle with center (2,-6); tangent to the y-axis?

##### 1 Answer

Nov 26, 2017

The equation is:

#### Explanation:

The equation of a circle with center

We know the center is

Since the circle is tangent to the y-axis, we know that the distance from the center to the y-axis is 2 units, so the radius is 2.

The equation is:

Here's a figure:

graph{(x-2)^2+(y+6)^2=4 [-9.13, 10.87, -9.36, 0.64]}