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which graph shows the graph of a circle with the equation x^2 + (y + 3)^2 equals 9

upper left

Step-by-step explanation:

The generic equation for a circle centered at (h, k) with radius r is ...

(x -h)^2 +(y -k)^2 = r^2

Comparing that equation to the one you have, you can see that ...

-h = 0

-k = +3

r^2 = 9

Then you have (h, k) = (0, -3) and a radius of 3.

The circle has its center on the y-axis 3 units below the x-axis and just touches the x-axis. This is a description of the graph at upper left.

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