Math Problem Statement

find the length of latus rectum, focal length, opening of the graph, standard form, vertex, focus, endpoint of latus rectum, axis of symmetry, and directix of the given parabola equation.

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Analytic Geometry
Parabolas
Conic Sections

Formulas

Latus Rectum = 4p (where p is the focal length)
Standard form of parabola: y^2 = 4px or x^2 = 4py
Vertex form of a parabola: (x - h)^2 = 4p(y - k) or (y - k)^2 = 4p(x - h)

Theorems

Focus-Directrix Property of Parabolas
Symmetry of Parabolas

Suitable Grade Level

Grades 9-12