Graphing Quadratic Functions - Maxima and Minima
Related Topics:
More Lessons for Grade 9 Math
Math Worksheets
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.
More Lessons for Grade 9 Math
Math Worksheets
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?
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.
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 the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.