What is x=5y^2-25y+60 ?

The solution to x=5y^2-25y+60 is Parabola with (h,k)=(115/4 , 5/2),p= 1/20

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x=5y^2-25y+60

x = 5 y^{2} - 25 y + 60

(h, k) = (\frac{115}{4}, \frac{5}{2}), p = \frac{1}{20}

Solution steps

x = 5 y^{2} - 25 y + 60

Rewrite

x = 5 y^{2} - 25 y + 60

in the standard form

4 \cdot \frac{1}{20} (x - \frac{115}{4}) = (y - \frac{5}{2})^{2}

Therefore parabola properties are:

(h, k) = (\frac{115}{4}, \frac{5}{2}), p = \frac{1}{20}

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

y^{2} + 6 y - 2 x + 12 = 0

y = - x^{2} + 2 x + 35

y \leq x^{2} - 8 x + 2

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

What is x=5y^2-25y+60 ?
The solution to x=5y^2-25y+60 is Parabola with (h,k)=(115/4 , 5/2),p= 1/20