What is (y-5/2)^2=4*3*(x-1/2) ?

The solution to (y-5/2)^2=4*3*(x-1/2) is Parabola with (h,k)=(1/2 , 5/2),p=3

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(y-5/2)^2=43(x-1/2)

(y - \frac{5}{2})^{2} = 4 \cdot 3 \cdot (x - \frac{1}{2})

(h, k) = (\frac{1}{2}, \frac{5}{2}), p = 3

Solution steps

(y - \frac{5}{2})^{2} = 4 \cdot 3 (x - \frac{1}{2})

Rewrite

(y - \frac{5}{2})^{2} = 4 \cdot 3 (x - \frac{1}{2})

in the standard form:

4 \cdot 3 (x - \frac{1}{2}) = (y - \frac{5}{2})^{2}

Therefore parabola properties are:

(h, k) = (\frac{1}{2}, \frac{5}{2}), p = 3

y^{2} - 5 x - 24 = 0

- x + y^{2} = 1

y^{2} - y = y^{2} + 2 x - 5

x^{2} + 6 x + 20 y - 71 = 0

x = 2 y^{2} + 8 y + 11

What is (y-5/2)^2=4*3*(x-1/2) ?
The solution to (y-5/2)^2=4*3*(x-1/2) is Parabola with (h,k)=(1/2 , 5/2),p=3