Question

a parabola has a vertex at (0,0). the equation for the directrix of the parabola is x = -4. in which direction does the parabola open? up down right left

Explanation:

For a parabola, the vertex is midway between the focus and the directrix. The directrix here is \( x = -4 \) (a vertical line) and the vertex is at \( (0,0) \). Since the directrix is a vertical line, the parabola opens horizontally (left or right). The vertex \( (0,0) \) is to the right of the directrix \( x=-4 \). A parabola opens away from the directrix, so if the directrix is at \( x = -4 \) (left of the vertex), the parabola opens to the right.

Answer:

C. right