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

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

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

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

(h, k) = (1, 2), p = - 1

Solution steps

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

Rewrite

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

in the standard form:

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

Therefore parabola properties are:

(h, k) = (1, 2), p = - 1

\frac{x ^{2}}{16} - \frac{y ^{2}}{4} = 1

x^{2} + \frac{y ^{2}}{49} = 1

\frac{x ^{2}}{4} - \frac{y ^{2}}{25} = 1

y^{2} = 16 x

\frac{x ^{2}}{16} - \frac{y ^{2}}{25} = 1

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