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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 = ax^{2} + 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 = x^{2} - 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 = 2x^{2} + 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 = -x^{2} + 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)?

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 = ax

Example:

Expand y = (x - 3)

How do you put y = x

This lesson shows how to find local maxima or minima for a quadratic relation using the Completing the Square Method.

Example:

Convert y = 2x

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 = -x

State the vertex, direction of opening and graph the parabola.

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