What is x^2-15x+k(x)=0 ?

The solution to x^2-15x+k(x)=0 is Parabola with (h,k)=(15/2 , 225/4),p=-1/4

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x^2-15x+k(x)=0

x^{2} - 15 x + k (x) = 0

(h, k) = (\frac{15}{2}, \frac{225}{4}), p = - \frac{1}{4}

Solution steps

x^{2} - 15 x + y = 0

Rewrite

x^{2} - 15 x + y = 0

in the standard form

4 (- \frac{1}{4}) (y - \frac{225}{4}) = (x - \frac{15}{2})^{2}

Therefore parabola properties are:

(h, k) = (\frac{15}{2}, \frac{225}{4}), p = - \frac{1}{4}

2 x - 3 y^{2} = 0

(x + 3)^{2} = 8 (y - 2)

y^{2} = c (x + \frac{1}{4} c)

(y - 3)^{2} = 5 (x + 2)

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

What is x^2-15x+k(x)=0 ?
The solution to x^2-15x+k(x)=0 is Parabola with (h,k)=(15/2 , 225/4),p=-1/4