Download Quadratic Functions Extreme Values and Graphs

Quadratic Functions
Extreme Values and Graphs
Honors Algebra II with Trigonometry
February 7-8, 2013
Mrs. Agnew
Essential Question
• How do you graph quadratic functions?
Essential Vocabulary
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Quadratic Function
Vertex
Extreme Value
Standard Form
Vertex Form
Quadratic Functions
• Standard Form:
y = ax2 + bx + c
• What is the graph of a quadratic function?
• What is the vertex? The axis of symmetry?
• The vertex and symmetry are important parts of
the graph of a quadratic function.
Graphs of Quadratics
Graphing quadratics from standard form…
1. Identify axis of symmetry:
x = – b_
2a
2. Identify vertex using axis of symmetry
3. Find a point on parabola and use symmetry to find
another point (i.e., y-intercept)
Examples…
Homework: February 6
Textbook: Pages 6 –7
#21, 22, 23, 24, 25, 30, 31, 33-38 (do not find the
value)
Extreme Values
• An extreme value is the largest or smallest y
value for a given function.
• Where is the extreme value for quadratics?
• When asked to find a maximum or minimum
value, always find the y coordinate of the vertex.
Examples…
Homework: February 7
-Extreme Values Worksheet Provided