A19-3 graphing quadratics

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Algebra 1 9.3 Quadratic Functions

Transcript of A19-3 graphing quadratics

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Algebra 1

9.3

Quadratic Functions

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A function with x2 is called a quadratic function.

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A function with x2 is called a quadratic function.

The general form for a quadratic function is y = ax2 + bx + c.

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A function with x2 is called a quadratic function.

The general form for a quadratic function is y = ax2 + bx + c.a is called the leading

coefficient.

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A function with x2 is called a quadratic function.

The general form for a quadratic function is y = ax2 + bx + c.a is called the leading

coefficient.The vertex is the lowest or

highest point on the parabola.

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A function with x2 is called a quadratic function.

The general form for a quadratic function is y = ax2 + bx + c.a is called the leading

coefficient.The vertex is the lowest or

highest point on the parabola.The axis of symmetry is the

vertical line through the vertex.

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Choose one person to be the grapher.

Choose one person to be the recorder.

Choose one person to be the summarizer.

Get in groups of 3.

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Copy each set of graphs on a sheet of paper.

Be sure to label each graph with the equation.

Grapher

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As the group discusses the graphs, take notes of the discussion.

Focus your group’s discussion around the differences among theVertexAxis of symmetryEquation (coefficients)

Recorder

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When your group finishes discussing the graphs, use the notes to come up with a summary statement (one sentence) about each set of graphs.Statement should use the examples to

create a general rule.

Summarizer

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You have 2 minutes to graph, discuss, and summarize each Graph Set.

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Graph Set #1

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Graph Set #2a

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Graph Set #2b

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Graph Set #3a

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Graph Set #3b

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The vertex has an x-coordinate

Graphing

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If a is positive, the parabola opens up.

Graphing

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If a is positive, the parabola opens up.

If a is negative, the parabola opens down.

Graphing

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Plot the vertex.

To Graph

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Plot the vertex.Make a table of values for both sides

of the x vertex.

To Graph

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Plot the vertex.Make a table of values for both sides

of the x vertex.Plot the points and connect the

parabola.

To Graph