Answer: The equation is [tex](x+4)^2 + (y-4)^2 = 9\\\\[/tex]
Center = (-4,4)
Radius = 3
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Explanation:
This graph shows the circle's center is at (-4, 4)
Recall in general, the center is (h,k)
So we see that (h,k) = (-4,4). More specifically: h = -4 and k = 4.
The radius of this circle is r = 3 as this is the distance from the center to any point on the edge. For example, go from (-4,4) to (-1,4).
With the h, k and r values in mind, we then say the following:
[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-(-4))^2 + (y-4)^2 = 3^2\\\\(x+4)^2 + (y-4)^2 = 9\\\\[/tex]
which represents the equation of this circle.
