Respuesta :

Answer:

see explanation

Step-by-step explanation:

Since the directrix has equation x = - 4, that is a vertical line

This indicates that the parabola is horizontal

Since p = - 3

This indicates the parabola opens to the left.

The parabola is horizontal and opens to the left.

Answer:

Horizontal parabola, oriented to the negative side.

Step-by-step explanation:

Givens

The directrix is [tex]x=-4[/tex] and [tex]p=-3[/tex]

Now, if the directrix has the form [tex]x=-p[/tex], it means the directrix is vertical and the parabola is horixontal.

Its equation would have the form [tex]y^{2} =4px[/tex].

Now, is [tex]p<0[/tex], the parabola would open to the negative side, and its equation is

[tex]y^{2} =4(-3)x\\y^{2} =-12x[/tex]

Therefore, the parabola is draw towards the negative numbers of horizontal axis.

The image attached shows the direction of the parabola.

Ver imagen jajumonac