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Determine the orientation of the parabola.
directrix: x= -4; p=-3
Please help!!

2 Answers

2 votes

Answer:

Horizontal parabola, oriented to the negative side.

Explanation:

Givens

The directrix is
x=-4 and
p=-3

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

Its equation would have the form
y^(2) =4px.

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


y^(2) =4(-3)x\\y^(2) =-12x

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

The image attached shows the direction of the parabola.

Determine the orientation of the parabola. directrix: x= -4; p=-3 Please help!!-example-1
User Sharonda
by
7.9k points
6 votes

Answer:

see explanation

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.

User Nuno Tomas
by
8.1k points

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