Math Problem Statement

ACTIVITY #4 PARABOLA

This activity will be our last official activity for the 1 quarter. This will be answered on a piece of graphing paper. This can be answered by solo or with a chosen pair/trio and don't forget to write your name/the names of your partner. This activity will have a total of 20 points. Goodluck!

On the given parabola equations, find the following:

a) Vertex

b) Focus

c) Endpoints of Latus Rectum

d) Directrix

e) Axis of Symmetry

g) Graph

  1. x²-2x+1=8y-16

Solution

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Math Problem Analysis

Mathematical Concepts

Parabolas
Conic Sections
Vertex Form of a Parabola
Graphing Parabolas

Formulas

(x - h)^2 = 4p(y - k)
Formula for vertex of a parabola
Formula for focus of a parabola
Formula for directrix of a parabola
Formula for endpoints of the latus rectum

Theorems

Properties of parabolas
Relationship between focus, vertex, and directrix

Suitable Grade Level

Grades 10-12