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What is the equation of the circle graphed on the coordinate plane? answers: 1) (x – 2)2 + (y + 1)2 = 4 2) (x + 1)2 + (y – 2)2 = 16 3) (x – 2)2 + (y + 1)2 = 16 4) (x + 2)2 + (y – 1)2 = 16

What is the equation of the circle graphed on the coordinate plane answers 1 x 22 y 12 4 2 x 12 y 22 16 3 x 22 y 12 16 4 x 22 y 12 16 class=

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mathstudent55

Answer:

3) (x – 2)^2 + (y + 1)^2 = 16

Step-by-step explanation:

Equation of circle:

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

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

From the graph, we see the center is at (2, -1), so h = 2, and h = -1.

The radius is 4, so r = 4.

The equation is

(x - 2)^2 + (h - (-1))^2 = 4^2

(x - 2)^2 + (h + 1)^2 = 16

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