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

Answer:

option (b) is correct.

Step-by-step 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.