What is (x-1)^2=4(y+1) ?

The solution to (x-1)^2=4(y+1) is Parabola with (h,k)=(1,-1),p=1

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(x-1)^2=4(y+1)

(x - 1)^{2} = 4 (y + 1)

(h, k) = (1, - 1), p = 1

Solution steps

(x - 1)^{2} = 4 (y + 1)

Rewrite

(x - 1)^{2} = 4 (y + 1)

in the standard form:

4 \cdot 1 \cdot (y - (- 1)) = (x - 1)^{2}

Therefore parabola properties are:

(h, k) = (1, - 1), p = 1

3 6^{2} - 64 y^{2} - 504 x + 768 y - 2844 = 0

\frac{1}{2} x = \frac{y - 1}{x + 3}

y \geq 2 x^{2} + 2 x - 3

x, 4 k (x)^{2} + 6 = 5 k (x)^{2} - 4 x + 3

(x + 2)^{2} = - 8 (y - 2)

What is (x-1)^2=4(y+1) ?
The solution to (x-1)^2=4(y+1) is Parabola with (h,k)=(1,-1),p=1