Question

What is the graph of the equation (x+8)^2+(y-1)2=9

Answer 1

this is the equation of a circle with center (-8,1) and a radius of 3
the answer is B

Answer 2

option (b) is correct.

Explanation:

Given : the equation
`(x+8)^2+(y-1)^2=9`

We have to plot the graph for the given equation
`(x+8)^2+(y-1)^2=9` and choose the correct graph

Since the general equation of circle is given as,
`(x-h)^2+(y-k)^2=r^2`

Where (h, k) is the center of the equation and r is the radius.

Thus, for the given equation
`(x+8)^2+(y-1)^2=9`

on comparing we have h = -8 , k = 1 , r = 3

Thus, the graph will be a circle with center at (-8, 1) and radius 3 .

Thus, the graph in option (b) is correct.