Quadratic Intro | Linear vs Quadratic | Tables, Graphs, Differences & Parabolas
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Quadratic Intro | Linear vs Quadratic | Tables, Graphs, Differences & Parabolas
35 просмотров · 4 дн. назад
quickmathvideo
282 подписчика
35 просмотров · 4 дн. назад
Understanding quadratic relations becomes simple when you compare them with linear relations. In this video, we explore the standard form, vertex form, and factored form of quadratic equations, and compare them with linear equations using graphs, tables, first differences, and second differences.
You will learn:
• How to identify linear vs quadratic equations
• How graphs of lines and parabolas look
• Why the value of a determines whether a parabola opens up or down
• How to use first differences to confirm a linear relation
• How to use second differences to confirm a quadratic relation
• Parent parabola vs reflective parabola
• Step by step table and graph comparison
This is the first video in the Quadratic Relations series. More introductory concepts will come in the next video!
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#quadraticrelation #parabola #grade10math
TIMESTAMPS:
00:00 – Introducing Linear Relations
00:41 – Introducing Quadratic Relations
01:33 – How to Identify Linear vs. Quadratic Equations (Rules)
02:32 – Explaining Graphs of Linear relation (Straight Lines)
02:51 – Explaining Graphs of Quadratic relation (Parabolas)
03:58 – Table and Graph of the Parent Linear Relation
05:19 – First Differences of the Parent Linear Relation
05:49 – Table and Graph of the Parent Quadratic Relation
07:08 – First and Second Differences of the Parent Quadratic Relation
08:03 – Table and Graph of the Reflected Parent Quadratic Relation
09:24 – First and Second Differences of the Reflected Parent Quadratic Relation
10:20 – Practice Examples: Identifying Linear vs. Quadratic Equations
11:43 – Closing Message
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