3.1 Quadratic Functions.notebook
October 04, 2016
Algebra 3
Chapter 3: Polynomials and Rational Functions
3.1 Quadratic Functions
• Learn definitions of the terms: Quadratic, Parabola, Vertex, Axis of Symmetry
• Identify the vertex and graph quadratics in standard form.
• Identify the vertex and graph quadratics in the form
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3.1 Quadratic Functions.notebook
October 04, 2016
Formal Definition of Quadratic:
Any function of the form
where a, b, & c are real numbers and a does not equal 0.
In simple terms: Some function where you have as your largest exponent on x, and you don't have any negative or fraction exponents.
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3.1 Quadratic Functions.notebook
October 04, 2016
Parabola: the shape a quadratic function makes. looks like a U
Vertex: the turning point of a parabola. The lowest or highest point (depending on the graph)
Axis of Symmetry: The straight line through the vertex which cuts the graph in half, symmetrically.
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3.1 Quadratic Functions.notebook
October 04, 2016
Identifying the vertex:
Standard Form: In standard form AKA Vertex Form the vertex is at (h, k)
General Form: In general form the vertex can be found with this formula:
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3.1 Quadratic Functions.notebook
October 04, 2016
Standard Form examples:
Ex: Find the vertex of the following functions:
A)
B)
C)
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3.1 Quadratic Functions.notebook
October 04, 2016
General Form examples:
A)
B)
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3.1 Quadratic Functions.notebook
October 04, 2016
Graphing Steps:
1. Identify Vertex
2. Determine if the graph opens Up or Down
3. Figure out how wide to sketch by using a table of values. (if you want to be more specific)
Or just use your calculator.
Ex: Graph
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3.1 Quadratic Functions.notebook
October 04, 2016
Ex: Graph 8
3.1 Quadratic Functions.notebook
October 04, 2016
Homework:
Pg 324: 1­4, 9, 10, 13­15, 17, 27
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