Graphing Quadratic Equations

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Lesson Objective
In this lesson, we will learn about graphing quadratic equations.
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About This Lesson
In this lesson, we will:
  1. Learn how to graph quadratic equations.
  2. See how we can graph the equation when the x-coordinates of the graph are given (1st math video).
  3. See how we can graph the equation when the x-coordinates are not given (2nd math video).
The study tips and math videos below will explain more.
a quadratic graph

Study Tips

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Tip #1
The general quadratic equation is given as:

multiply 3/5 with 100
Where a, b and c are the coefficients of each term respectively. Depending on the value of a, a quadratic graph may have a 'U' shape or a '' shape.

When graphing quadratic equations, you will see shapes that are similar to the pictures on the right. Here are some basic guidelines to help you:  
  1. Draw a x-y table to store the coordinates of all the points.
  2. It is better to have at least 7 points to get a good idea on how the graph looks like.
  3. Practice as many times as you can when drawing the graph, so that the curve will look smooth and steady.
The math videos below will show you the steps to graph any quadratic equations.
graph for 'a' greater than 0 'U' Shape
graph for 'a' less than than 0 '' Shape

Math Video

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Basics on Graphing Quadratic Equations
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Graphing Quadratic Equations By Making Use of The Vertex Formula
Note that, before watching the video below, you should have some idea on the vertex of a quadratic equation...
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Math Video Transcript

Practice Questions & More

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Multiple Choice Questions (MCQ)
Now, let's try some MCQ questions to understand this lesson better.

You can start by going through the series of questions on graphing quadratic equations or pick your choice of question below.
  1. Question 1 on the basics on graphing quadratic equations when the x-coordinates are given
  2. Question 2 on graphing quadratic equations when the x-coordinates are not given 
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Please feel free to visit the Q&A Library. You can read the Q&As listed in any of the available categories such as Algebra, Graphs, Exponents and more. Also, you can submit math question, share or give comments there.
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