What is f(x)=6x^2-4x+2.8f(x) ?

The solution to f(x)=6x^2-4x+2.8f(x) is Parabola with (h,k)=(0.33333…,0.37037…),p=-0.075

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f(x)=6x^2-4x+2.8f(x)

f (x) = 6 x^{2} - 4 x + 2.8 f (x)

(h, k) = (0.33333 \dots, 0.37037 \dots), p = - 0.075

Solution steps

y = 6 x^{2} - 4 x + 2.8 y

Rewrite

y = 6 x^{2} - 4 x + 2.8 y

in the standard form

4 (- 0.075) (y - 0.37037 \dots) = (x - 0.33333 \dots)^{2}

Therefore parabola properties are:

(h, k) = (0.33333 \dots, 0.37037 \dots), p = - 0.075

x^{2} + 2 x - 8 y - 15 = 0

x = 500 (0.04 - y^{2})

2 a^{2} + 2 b - 4 = 0

x = y^{2} - 2 y - 3

x^{2} + y > 0

What is f(x)=6x^2-4x+2.8f(x) ?
The solution to f(x)=6x^2-4x+2.8f(x) is Parabola with (h,k)=(0.33333…,0.37037…),p=-0.075