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Which graph represents equation (x-4)^2+(y+2)=16
F
H
G
I

Which Graph Represents Equation X42y216 F H G I class=

Sagot :

Answer: Choice G  (lower left corner)

Why is this? Recall that (x-h)^2+(y-k)^2 = r^2  is the general template of a circle. The center being (h,k) and the radius is r.

For the equation (x-4)^2+(y+2)^2 = 16, we have a center of (4,-2) and radius 4. Note that 4^2 = 16.

The graph of choice G shows these properties so that's why it's the answer. Keep in mind that each tickmark represents 2 units. Choice I is close since the center is correct but the radius is too small.

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