What is 4y^2-24x-20y+97=0 ?

The solution to 4y^2-24x-20y+97=0 is Parabola with (h,k)=(3, 5/2),p= 3/2

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4y^2-24x-20y+97=0

4 y^{2} - 24 x - 20 y + 97 = 0

(h, k) = (3, \frac{5}{2}), p = \frac{3}{2}

Solution steps

4 y^{2} - 24 x - 20 y + 97 = 0

Rewrite

4 y^{2} - 24 x - 20 y + 97 = 0

in the standard form

4 \cdot \frac{3}{2} (x - 3) = (y - \frac{5}{2})^{2}

Therefore parabola properties are:

(h, k) = (3, \frac{5}{2}), p = \frac{3}{2}

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

- f (x) = 3 (x)^{2} + 2 (x) - 4

(x + 2)^{2} = - 8 (y + 5)

x^{2} - 6 x - 16 y - 39 = 0

x^{2} - 2 x - 4 y + 13 = 0

What is 4y^2-24x-20y+97=0 ?
The solution to 4y^2-24x-20y+97=0 is Parabola with (h,k)=(3, 5/2),p= 3/2