Question

Which equation represents the graph of the circle?

-8 -7
6 -5
-4
O(x + 2)² + (y-4)² = 4
O(x + 2)² + (y-4)² = 16
O(x - 2)2 + (y + 4)² = 4
O(x - 2)² + (y + 4)² = 16
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-2
9
8
7
6
5
4
3
2
1
-1 0
-2
1
2

Answer 1

So, the equation that represents the graph of a circle is:

(x + 2)² + (y - 4)² = 16

Explanation:

The equation that represents the graph of a circle is given in the form:

(x - h)² + (y - k)² = r²

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

Among the options provided:

(x + 2)² + (y - 4)² = 4 represents a circle with center (-2, 4) and radius 2.

(x + 2)² + (y - 4)² = 16 represents a circle with center (-2, 4) and radius 4.

(x - 2)² + (y + 4)² = 4 represents a circle with center (2, -4) and radius 2.

(x - 2)² + (y + 4)² = 16 represents a circle with center (2, -4) and radius 4.

So, the equation that represents the graph of a circle is:

(x + 2)² + (y - 4)² = 16