Wha is a vertex, a focus, an eccentricity, and a latus rectum
depends on the conic section.
google is your friend. Just look up "parabola" or "ellipse" etc for many discussions of their properties.
Its on the ellipse. Google isn't helping.
that's rubbish.
Just typing in ellipse, I got many hits, and as usual, wikipedia had a very good article.
https://en.wikipedia.org/wiki/Ellipse
A vertex is a specific point on a curve or a shape, typically where two lines or edges meet. It can also refer to the highest or lowest point of a parabolic curve. Finding the vertex involves determining the coordinates of this point.
A focus, in the context of conic sections, is a fixed point used to define a curve. It is a point to which all other points on the curve have a constant distance. For instance, in an ellipse or a hyperbola, there are two foci. Finding the foci involves identifying these two points.
Eccentricity, also related to conic sections, is a measure of how elongated a curve is. It quantifies the "flatness" or "roundness" of a conic section. Eccentricity values range between 0 and 1, with 0 representing a circle and 1 indicating a parabolic curve. The closer the eccentricity is to 1, the more elongated the curve is.
Latus rectum, on the other hand, is a term specific to a parabolic curve. It refers to a line segment passing through the focus and perpendicular to the axis of symmetry of the parabola. It is twice the focal length of the parabola, and its length can be calculated using the eccentricity of the parabolic curve.
To find the vertex, focus, eccentricity, and latus rectum of a given conic section or parabola, you need to work with the specific equations that define these curves. The specific approach will vary depending on the type of curve and the given information, so additional information is needed to guide you through the specific calculations.