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Find its center and radius. x=(y+3)²-2

User Mjrezaee
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1 Answer

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Final answer:

The center of the parabola is (-3, -2), and the parabola does not have a radius.

Step-by-step explanation:

The given equation represents a parabola in standard form: x=(y+3)²-2. To find the center of the parabola, we can determine the vertex of the parabola, which is the point (h, k) in the vertex form equation y=a(x-h)²+k. Comparing the given equation with the vertex form equation, we can see that the vertex is (-3, -2). Therefore, the center of the parabola is (-3, -2). The radius of the parabola cannot be determined because a parabola does not have a radius like a circle does.

User Toddk
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