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(X-1)^2+(y+3)=4 answer please

User Jterm
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To find the equation of the given curve, we need to rewrite it in a standard form. Let's simplify the equation step by step:

1. (X-1)^2 + (y+3) = 4

2. (X-1)^2 = 4 - (y+3)

3. (X-1)^2 = 1 - (y+3) [Since 4 - (y+3) = 1]

4. (X-1)^2 = 1 - y - 3

5. (X-1)^2 = -2 - y

Now, to make it more familiar, we can write it in terms of y:

6. y = -2 - (X-1)^2

So, the equation of the curve is y = -2 - (X-1)^2. This equation represents a parabola that opens downward with its vertex at (1, -2).
User Aderstedt
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