What is f(x)(a+3)=x^2+3 ?

The solution to f(x)(a+3)=x^2+3 is Parabola with (h,k)=(0, 3/(a+3)),p=(a+3)/4

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f(x)(a+3)=x^2+3

f (x) (a + 3) = x^{2} + 3

(h, k) = (0, \frac{3}{a + 3}), p = \frac{a + 3}{4}

Solution steps

y (a + 3) = x^{2} + 3

Rewrite

y (a + 3) = x^{2} + 3

in the standard form:

4 \cdot \frac{a + 3}{4} (y - \frac{3}{a + 3}) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, \frac{3}{a + 3}), p = \frac{a + 3}{4}

x^{2} - 6 x - 8 y + 1 = 0

f (x) (a + 3) = x^{2} + 1

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

(y + 3)^{2} = 8 (x + 6)

(y - 4)^{2} = 22 (x - 7)

What is f(x)(a+3)=x^2+3 ?
The solution to f(x)(a+3)=x^2+3 is Parabola with (h,k)=(0, 3/(a+3)),p=(a+3)/4