After graphing the parabola , she can fill the boxes as follows:
Gigi identifies that the vertex of the parabola is . The parabola opens up, and the focus is unit away from the vertex. The directrix is unit from the focus. The focus is the point . The directrix of the equation is .
Since Gigi's parabola has the x-term squared, then the parabola has the general formula
So,
The vertex is
The focus is
The directrix is
The other values can be computed as follows;
Direction the parabola opens: Since the value of p is positive, the parabola opens up.
Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is
Distance of directrix to focus: The directrix is the line . The distance of the directrix to the focus will be
Learn more about conic sections here: brainly.com/question/12854078