Question

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

Answer 1

(-1,-3)

Explanation:

Answer 2

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)