y^2=-25x

Solution

y^{2} = - 25 x

(h, k) = (0, 0), p = - \frac{25}{4}

Solution steps

y^{2} = - 25 x

Rewrite

y^{2} = - 25 x

in the standard form:

4 (- \frac{25}{4}) (x - 0) = (y - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 0), p = - \frac{25}{4}

9 x^{2} + y^{2} = 9

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

f (x) = x^{2} + 4 x - 5

x^{2} + 9 y^{2} + 6 x - 90 y + 225 = 0

\frac{x ^{2}}{25} - \frac{y ^{2}}{9} = 1

What is y^2=-25x ?
The solution to y^2=-25x is Parabola with (h,k)=(0,0),p=-25/4