What is (x-11.8)^2-7+f(x)=-(x-4.5)^2+22.3 ?

The solution to (x-11.8)^2-7+f(x)=-(x-4.5)^2+22.3 is Parabola with (h,k)=(8.15,2.655),p=-1/8

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(x-11.8)^2-7+f(x)=-(x-4.5)^2+22.3

(x - 11.8)^{2} - 7 + f (x) = - (x - 4.5)^{2} + 22.3

(h, k) = (8.15, 2.655), p = - \frac{1}{8}

Solution steps

(x - 11.8)^{2} - 7 + y = - (x - 4.5)^{2} + 22.3

Rewrite

(x - 11.8)^{2} - 7 + y = - (x - 4.5)^{2} + 22.3

in the standard form

4 (- \frac{1}{8}) (y - 2.655) = (x - 8.15)^{2}

Therefore parabola properties are:

(h, k) = (8.15, 2.655), p = - \frac{1}{8}

(\frac{1}{x ^{2}}) = (\frac{1}{h ( x , y )}) + (\frac{1}{y})

x = - 6 y^{2}

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

(y - 3)^{2} = 8 (x + 1)

f (x) = - 3 x^{2} - 24 x - 46

What is (x-11.8)^2-7+f(x)=-(x-4.5)^2+22.3 ?
The solution to (x-11.8)^2-7+f(x)=-(x-4.5)^2+22.3 is Parabola with (h,k)=(8.15,2.655),p=-1/8