Transcript 2.1.2 properties of parabolas notes

2.1.2 Properties of Parabolas
Essential Question:
What are the properties of parabolas used to graph and
characterize quadratic functions?
Main Idea
• To continue our exploration of quadratic
functions, we are going to look at the
properties of parabolas. This will connect to
Unit 1.
• On the left side of your notebook, list the
features of functions we have learned from
Unit 1.
Main Idea
• Properties of Parabolas
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Continuous or discrete
Positive/Negative
Increasing/Decreasing
Intercepts (x-int are called zeros/roots)
Extrema (vertex: minimum or maximum)
Axis of Symmetry
End Behavior
Domain
Range
Properties of Parabolas
• Describe the features.
Finding the A.O.S & Vertex
1) Find the axis of symmetry using x= -b/2a
2) Plug in the result to find the y-value
3) Write as an ordered pair for the vertex
Practice
1) y= -1/4x2+2x-3
2) y= 3x2 - 12x + 10
Graphing with Properties
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Find the axis of symmetry
Find the vertex
Use the c value to plot the y-intercept
Make a table of 2 more points or use the
squared slope method
Graphing with Properties
Summary
• Answer the essential question in detailed,
complete sentences.
What are the properties of parabolas used to
graph and characterize quadratic functions?
• Write 3-5 study questions that in the left
column which correspond with the notes.