Assertion: parabola | /r/HasAspect | its vertex
Facets:
value: as the midpoint of the focus
type: LOCATION
value: at (-10,-10)
type: OTHER
value: as the directrix
type: MANNER
value: at the origin
type: LOCATION
Source sentences:
text: It is proved in a preceding section that if a parabola has its vertex at the origin, and if it opens in the positive y direction, then its equation is y = x2/4f, where f is its focal length.[b]
text: The down-parabola ( the one in Black) opens down and moves infinitely along the negative Y-axis, and has the vertex at (-10,-10).
text: Every parabola has a vertex.
text: If the parabola has a horizontal axis and the same vertex then it is expressed as:
text: The Cartesian equation of a parabola that opens upward and has its vertex (turning point) at the origin is y = 4ax2, where a is the distance from the vertex to the focus, and the quantity 4a is known as the latus rectum.
text: The parabola has the vertex as the midpoint of the focus and the directrix.