# How do you graph #(x-4)^2 + (y-5)^2 < 9#?

##### 1 Answer

Jul 8, 2015

Pretend that the inequality is an equality, solve the equation and plot the graph. Shade all areas that satisfy the inequality.

#### Explanation:

This is the standard form for the equation of a circle with centre at (

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

Thus, the four extreme points are at (

Since the inequality is "< 9", you use a dotted line for the graph, and you shade all areas for which

graph{(x-4)^2 + (y-5)^2 < 9 [-6.41, 13.59, -1.04, 8.96]}