What is y^2+6y+9=x+8 ?

The solution to y^2+6y+9=x+8 is Parabola with (h,k)=(-8,-3),p= 1/4

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y^2+6y+9=x+8

y^{2} + 6 y + 9 = x + 8

(h, k) = (- 8, - 3), p = \frac{1}{4}

Solution steps

y^{2} + 6 y + 9 = x + 8

Rewrite

y^{2} + 6 y + 9 = x + 8

in the standard form

4 \cdot \frac{1}{4} (x - (- 8)) = (y - (- 3))^{2}

Therefore parabola properties are:

(h, k) = (- 8, - 3), p = \frac{1}{4}

x^{2} + 4 x - 4 y = 0

x^{2} + y^{2} - 4 x + 8 y - 5 = 0

x = 2 y^{2}

0 = - \frac{400}{9} x^{2} + 16 y^{2} + 400

5 x^{2} + 7 y = 3

What is y^2+6y+9=x+8 ?
The solution to y^2+6y+9=x+8 is Parabola with (h,k)=(-8,-3),p= 1/4