Graphing Quadratic Functions - Maxima and Minima
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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.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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