Question

Find the equation for the following parabola Vertex (-2,-4) Focus (-4,-4)

Answer 1

Answer:

None of the given option corresponds to the answer.

Step-by-step explanation:

The parabola has its axis of symmetry parallel to the x-axis and is represented by the following expression:

$x - h = 4\cdot p \cdot (y-k)^{2}$

Where:

$h$, $k$ - Components of the vertex location, dimensionless.

$p$ - Absolute distance of focus with respect to vertex, dimensionless.

The absolute distance is determined by following formula:

$p = x_{F}-h$

Where $x_{F}$ is the horizontal component of focus with respect to origin.

If $h = -2$, $k = -4$ and $x_{F} = -4$, the absolute distance and the equation that represents the parabola is:

$p = -4+2$

$p = -2$

$x +2 = -8\cdot (y+4)^{2}$

None of the given option corresponds to the answer.