Answer:
The third graph comes closest, but some difference suggest that the fifth graph, which is incorrectly displayed, may be the correct one.
Explanation:
I will rewrite the equation to the form it seems to have been intended: (x + 4)^2 + (y − 7)^2 = 49. Note the addition of two "^" to indicate the 2's are both powers, and not "*2."
Plot the equation on a scientific calculator or a free web-based scientific calculator, such as DESMOS. Compare the graph with the graph options. See the attached worksheet.
The plotted graph comes close to the graph option selected (third from left), but there were differences, as noted. It was the closest I saw on a first pass, but spend time ooking more closely at the options to see if there is a better choice. The fifth option doesn't look like it belongs, and the correct option may not be listed.