# How do you graph (x-1)^2+(y-4)^2=9?

Jul 8, 2015

You find the centre, the vertices, and the endpoints of the function. Then you plot the graph.

#### Explanation:

${\left(x - 1\right)}^{2} + {\left(y - 4\right)}^{2} = 9$

This is the standard form for the equation of a circle with centre at ($1 , 4$) and radius $\sqrt{9} = 3$.

This means that, to find the vertices, you go 3 units up from the centre and 3 units down.

Thus, the vertices are at ($1 , 7$) and ($1 , 1$).

To find the endpoints, you go 3 units left of the centre and 3 to the right.

Thus, the endpoints are at ($- 2 , 4$) and ($4 , 4$).

Plot these points on a graph.

Now draw a smooth circle through these four points.