What is 5-2(g(x))=8x^2-14x+11 ?

The solution to 5-2(g(x))=8x^2-14x+11 is Parabola with (h,k)=(7/8 , 1/16),p=-1/16

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5-2(g(x))=8x^2-14x+11

5 - 2 (g (x)) = 8 x^{2} - 14 x + 11

(h, k) = (\frac{7}{8}, \frac{1}{16}), p = - \frac{1}{16}

Solution steps

5 - 2 y = 8 x^{2} - 14 x + 11

Rewrite

5 - 2 y = 8 x^{2} - 14 x + 11

in the standard form

4 (- \frac{1}{16}) (y - \frac{1}{16}) = (x - \frac{7}{8})^{2}

Therefore parabola properties are:

(h, k) = (\frac{7}{8}, \frac{1}{16}), p = - \frac{1}{16}

x^{2} + 6 x + y + 10 = 0

5 x + y^{2} = 6

y = 3 x^{2} + 9 x - 10

y^{2} - 24 x + 6 y - 105 = 0

(x - 1)^{2} = - 48 (y - 1)

What is 5-2(g(x))=8x^2-14x+11 ?
The solution to 5-2(g(x))=8x^2-14x+11 is Parabola with (h,k)=(7/8 , 1/16),p=-1/16