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Which circle is the graph of the equation (x - 3)2 + (y + 4)2 = 9?

Circle A
Circle B
Circle C
Circle D

User Tiya
by
8.4k points

2 Answers

4 votes

The answer is Circle C.

The equation of the circle is in the standard form of the equation of a circle, which is (x - h)^2 + (y - k)^2 = r^2,

where (h, k) is the center of the circle and r is the radius. Matching the

given equation with the standard form, we get that (h, k) = (3, -4) and r = 3.

Therefore, the center of the circle is (3, -4) and the radius is 3.

Circle C has its center at (3, -4) and a radius of 3, so it is the graph of the equation (x - 3)^2 + (y + 4)^2 = 9.

Therefore, the answer is Circle C.

User Dean Lee
by
7.9k points
1 vote

Answer:

a circle with center at (h, k) or (3, -4) and radius 3

Explanation:

Next time, please share the answer choices.

(x - 3)^2 + (y + 4)^2 = 9 = 3^2

is a circle with center at (h, k) or (3, -4) and radius 3.

User Mads Kristiansen
by
7.5k points

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