What is x^2-10x-15y21=0 ?

The solution to x^2-10x-15y21=0 is Parabola with (h,k)=(5,-5/63),p= 315/4

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x^2-10x-15y21=0

x^{2} - 10 x - 15 y 21 = 0

(h, k) = (5, - \frac{5}{63}), p = \frac{315}{4}

Solution steps

x^{2} - 10 x - 15 y \cdot 21 = 0

Rewrite

x^{2} - 10 x - 15 y \cdot 21 = 0

in the standard form

4 \cdot \frac{315}{4} (y - (- \frac{5}{63})) = (x - 5)^{2}

Therefore parabola properties are:

(h, k) = (5, - \frac{5}{63}), p = \frac{315}{4}

y - 7 x^{2} = 0

y \leq x^{2} + 1

y \leq x^{2} + 3

6 y^{2} - 12 y - 24 x - 42 = 0

- y^{2} + 4 y - x - 7 = 0

What is x^2-10x-15y21=0 ?
The solution to x^2-10x-15y21=0 is Parabola with (h,k)=(5,-5/63),p= 315/4