Post on 06-May-2015
Algebra 1
9.3
Quadratic Functions
A function with x2 is called a quadratic function.
A function with x2 is called a quadratic function.
The general form for a quadratic function is y = ax2 + bx + c.
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.
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.
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.
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.
Copy each set of graphs on a sheet of paper.
Be sure to label each graph with the equation.
Grapher
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
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
You have 2 minutes to graph, discuss, and summarize each Graph Set.
Graph Set #1
Graph Set #2a
Graph Set #2b
Graph Set #3a
Graph Set #3b
The vertex has an x-coordinate
Graphing
If a is positive, the parabola opens up.
Graphing
If a is positive, the parabola opens up.
If a is negative, the parabola opens down.
Graphing
Plot the vertex.
To Graph
Plot the vertex.Make a table of values for both sides
of the x vertex.
To Graph
Plot the vertex.Make a table of values for both sides
of the x vertex.Plot the points and connect the
parabola.
To Graph