Conic Equations to Standard Form & Key Features: Circle, Parabola, Ellipse, Assignments of Mathematics

Instructions for transforming equations of circles, parabolas, and ellipses into standard form and identifying their important features, such as center and radius for circles, vertex, latus rectum, axis of symmetry, and directrix for parabolas, and major axis, minor axis, vertices, and foci for ellipses. Examples for each conic section and requires students to graph their solutions.

Typology: Assignments

2020/2021

Uploaded on 10/19/2022

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General Instruction: Transform each equation into its Standard form. Identify and label
the coordinates of the important parts/features of each conic sections.
Topic/ Title: Circle
Plate Number: 1
Important Features: Center and Radius
16๐‘ฅ๐‘ฅ2+16๐‘ฆ๐‘ฆ2+96๐‘ฅ๐‘ฅ โˆ’ 40๐‘ฆ๐‘ฆ=315
Topic/ Title: Parabola
Plate Number: 2
Important Features: Vertex, Latus Rectum, Axis of Symmetry, and Directrix
5๐‘ฅ๐‘ฅ2+30๐‘ฅ๐‘ฅ+24๐‘ฆ๐‘ฆ=51
Topic/ Title: Ellipse
Plate Number: 3
Important Features: Major axis, Minor axis, Vertices, and Foci
36๐‘ฅ๐‘ฅ2+20๐‘ฆ๐‘ฆ2โˆ’144๐‘ฅ๐‘ฅ+120๐‘ฆ๐‘ฆ โˆ’ 396 = 0
Note: On your paper, write immediately the equation with your complete solution and
also your graph. You have an option to use graphing paper only in graphing. You have
to make your own plate with 0.5-inch border in all sides. Follow the given format. Utilize
your space wisely. Printed outputs will not be accepted.
Criteria:
Accuracy 5 Points
Completeness 5 Points
Neatness 5 Points
Promptness 5 Points
Total 20 Points

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General Instruction: Transform each equation into its Standard form. Identify and label the coordinates of the important parts/features of each conic sections.

Topic/ Title: Circle Plate Number: 1 Important Features: Center and Radius 16 ๐‘ฅ๐‘ฅ 2 + 16๐‘ฆ๐‘ฆ 2 + 96๐‘ฅ๐‘ฅ โˆ’ 40 ๐‘ฆ๐‘ฆ = 315

Topic/ Title: Parabola Plate Number: 2 Important Features: Vertex, Latus Rectum, Axis of Symmetry, and Directrix 5 ๐‘ฅ๐‘ฅ 2 + 30๐‘ฅ๐‘ฅ + 24๐‘ฆ๐‘ฆ = 51

Topic/ Title: Ellipse Plate Number: 3 Important Features: Major axis, Minor axis, Vertices, and Foci 36 ๐‘ฅ๐‘ฅ 2 + 20๐‘ฆ๐‘ฆ 2 โˆ’ 144 ๐‘ฅ๐‘ฅ + 120๐‘ฆ๐‘ฆ โˆ’ 396 = 0

Note: On your paper, write immediately the equation with your complete solution and also your graph. You have an option to use graphing paper only in graphing. You have to make your own plate with 0.5-inch border in all sides. Follow the given format. Utilize your space wisely. Printed outputs will not be accepted.

Criteria:

Accuracy 5 Points Completeness 5 Points Neatness 5 Points Promptness 5 Points Total 20 Points