Question

a parabola has a vertex at (0,0). the focus of the parabola is located on the positive y - axis. in which direction must the parabola open? \bigcirc up \bigcirc down \bigcirc left \bigcirc right

Explanation:

A parabola's direction of opening is determined by the position of its focus relative to the vertex. For a parabola with vertex at \((0,0)\), if the focus is on the positive \(y\)-axis (e.g., at \((0,p)\) where \(p>0\)), the parabola opens towards the focus. Since the focus is on the positive \(y\)-axis (above the vertex), the parabola opens up.

Answer:

A. up