Graphing Quadratic Functions - Maxima and Minima


Related Topics:
More Lessons for Grade 9 Math
Math Worksheets




Share this page to Google Classroom

Examples, videos, worksheets, solutions, and activities to help Algebra students learn
How to graph quadratic functions (maxima and minima)?

Maxima and Minima Part 1
This lesson shows how to find local maxima or minima for a quadratic relation using the Completing the Square Method.
The process of completing the square involves changing the first two terms of a quadratic relation of the form y = ax2 + bc + c into a perfect square while maintaining an equivalent form of the original equation.
Example:
Expand y = (x - 3)2 + 1 into standard form.
How do you put y = x2 - 6x + 10 back into the form y = (x - 3)2 + 1?

Maxima and Minima Part 2
This lesson shows how to find local maxima or minima for a quadratic relation using the Completing the Square Method.
Example:
Convert y = 2x2 + 16x + 29 into y = a(x - h)2 + k form.
State the vertex, direction of opening and graph the parabola.




Maxima and Minima Part 3
This lesson shows how to find local maxima or minima for a quadratic relation using the Completing the Square Method.
Example:
Convert y = -x2 + 10x - 18 into y = a(x - h)2 + k form.
State the vertex, direction of opening and graph the parabola.



Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

Fraction Concoction Game



We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.