Answer:
option (b) is correct.
Step-by-step explanation:
Given : the equation [tex](x+8)^2+(y-1)^2=9[/tex]
We have to plot the graph for the given equation [tex](x+8)^2+(y-1)^2=9[/tex] and choose the correct graph
Since the general equation of circle is given as, [tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center of the equation and r is the radius.
Thus, for the given equation [tex](x+8)^2+(y-1)^2=9[/tex]
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.
