Question

Graph the circle (x-9)²+(y+6)²=1

Use the points to adjust the graph. Moving the center will move the entire figure.

Answer 1

see attachment

Explanation:

To find:-

• Graph the equation of the given circle.

Answer:-

We are given a equation of circle which is ,

`\longrightarrow (x-9)^2+(y+6)^2=1 \\`

We need to graph the given equation. For that we know the standard equation of the circle.

Standard equation of circle:-

`\longrightarrow \boxed{ (x-h)^2+(y-k)^2 = r^2}\\`

Now we can rewrite the given equation as ,

`\longrightarrow (x-9)^2+\{ x - (-6)\}^2=1^2\\`

On comparing it with the standard equation of circle , we can clearly see that,

`\longrightarrow \text{ Centre = (9,-6)}\\`

And ,

`\longrightarrow \text{ Radius = 1 unit } \\`

Using these data we can now plot the graph. The graph for same has been attached.