Question

Need help with this math question!!!!!!!!!

Answer 1

ANSWER

The vertex is (1,-3)

EXPLANATION

The given parabola has equation:

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

We group the variables to obtain:

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

We complete the square to get,

${y}^{2} + 6y + {3}^{2} = - 8x - 1 + {3}^{2}$

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

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

The vertex is of the parabola is (1,-3)

Answer 2

Answer:

(-1,-3)

Step-by-step explanation: