You must complete Modular Arithmetic 1 to unlock this Lesson.
QUADRATIC EQUATIONS
CONTENT
- Revision of linear graph and drawing quadratic graph
- Obtaining roots from a quadratic graph
- Finding an equation from a given graph
- Application of quadratic equation to real life situations
Linear Graphs
Recall that any equation whose highest power of the unknown is 1 is a linear equation. To draw the graph of a linear equation, we need to
- Make a table of value for the equation
- Plot the graph of the linear equation
Example:
Draw the graph of \(y = x -1\)
Solution:
\(y = x -1\)
| x | −2 | 0 | 2 |
|---|---|---|---|
| −1 | −1 | −1 | −1 |
| y | −3 | −1 | 1 |
Scale: 2cm to 1unit on both axes
Graph of \(y = x -1\)
Drawing Quadratic Graphs
To draw a quadratic graph, we need to also follow the same process of drawing linear graph
Example:
Draw the graph of \(y = x^2 + 2x + 1\)
Solution:
Since \(y = x^2 + 2x + 1\), we shall now make a table for the values of x & y.
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ClassHall Instructor
Ezimeruwe Oghenekaro
Halima Ahmadu
Sadiq Barau